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Finding the Fourth Proportional to 42,714.48, 64,071.72 and 15,006

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Solution

The fourth proportional to 42,714.48, 64,071.72 and 15,006 is: 22,509

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,714.48 : 64,071.72 = 15,006 : x
  2. Step 2: Convert to fraction form
    42,714.48/64,071.72 = 15,006/x
  3. Step 3: Cross multiply
    42,714.48x = 64,071.72 × 15,006
  4. Step 4: Simplify right side
    42,714.48x = 961,460,230.32
  5. Step 5: Solve for x
    x = 961,460,230.32/42,714.48
  6. Step 6: Final answer
    x = 22,509

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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.