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Finding the Fourth Proportional to 38,710.32, 53,417.52 and 21,713.28

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Solution

The fourth proportional to 38,710.32, 53,417.52 and 21,713.28 is: 29,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,710.32 : 53,417.52 = 21,713.28 : x
  2. Step 2: Convert to fraction form
    38,710.32/53,417.52 = 21,713.28/x
  3. Step 3: Cross multiply
    38,710.32x = 53,417.52 × 21,713.28
  4. Step 4: Simplify right side
    38,710.32x = 1,159,869,568.67
  5. Step 5: Solve for x
    x = 1,159,869,568.67/38,710.32
  6. Step 6: Final answer
    x = 29,962.80

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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.