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Finding the Fourth Proportional to 49,189.76, 67,881.87 and 27,970.32

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Solution

The fourth proportional to 49,189.76, 67,881.87 and 27,970.32 is: 38,599.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,189.76 : 67,881.87 = 27,970.32 : x
  2. Step 2: Convert to fraction form
    49,189.76/67,881.87 = 27,970.32/x
  3. Step 3: Cross multiply
    49,189.76x = 67,881.87 × 27,970.32
  4. Step 4: Simplify right side
    49,189.76x = 1,898,677,626.10
  5. Step 5: Solve for x
    x = 1,898,677,626.10/49,189.76
  6. Step 6: Final answer
    x = 38,599.05

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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.