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Finding the Fourth Proportional to 48,774, 67,302.72 and 27,548.76

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Solution

The fourth proportional to 48,774, 67,302.72 and 27,548.76 is: 38,014.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,774 : 67,302.72 = 27,548.76 : x
  2. Step 2: Convert to fraction form
    48,774/67,302.72 = 27,548.76/x
  3. Step 3: Cross multiply
    48,774x = 67,302.72 × 27,548.76
  4. Step 4: Simplify right side
    48,774x = 1,854,106,480.63
  5. Step 5: Solve for x
    x = 1,854,106,480.63/48,774
  6. Step 6: Final answer
    x = 38,014.24

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.