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Finding the Fourth Proportional to 52,714.90, 72,746.74 and 28,841.50

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Solution

The fourth proportional to 52,714.90, 72,746.74 and 28,841.50 is: 39,801.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,714.90 : 72,746.74 = 28,841.50 : x
  2. Step 2: Convert to fraction form
    52,714.90/72,746.74 = 28,841.50/x
  3. Step 3: Cross multiply
    52,714.90x = 72,746.74 × 28,841.50
  4. Step 4: Simplify right side
    52,714.90x = 2,098,125,101.71
  5. Step 5: Solve for x
    x = 2,098,125,101.71/52,714.90
  6. Step 6: Final answer
    x = 39,801.37

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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.