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Finding the Fourth Proportional to 52,300.32, 78,494.88 and 22,741.92

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Solution

The fourth proportional to 52,300.32, 78,494.88 and 22,741.92 is: 34,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,300.32 : 78,494.88 = 22,741.92 : x
  2. Step 2: Convert to fraction form
    52,300.32/78,494.88 = 22,741.92/x
  3. Step 3: Cross multiply
    52,300.32x = 78,494.88 × 22,741.92
  4. Step 4: Simplify right side
    52,300.32x = 1,785,124,281.37
  5. Step 5: Solve for x
    x = 1,785,124,281.37/52,300.32
  6. Step 6: Final answer
    x = 34,132.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.