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Finding the Fourth Proportional to 38,983.52, 53,769.65 and 38,400.32

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Solution

The fourth proportional to 38,983.52, 53,769.65 and 38,400.32 is: 52,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,983.52 : 53,769.65 = 38,400.32 : x
  2. Step 2: Convert to fraction form
    38,983.52/53,769.65 = 38,400.32/x
  3. Step 3: Cross multiply
    38,983.52x = 53,769.65 × 38,400.32
  4. Step 4: Simplify right side
    38,983.52x = 2,064,771,708.71
  5. Step 5: Solve for x
    x = 2,064,771,708.71/38,983.52
  6. Step 6: Final answer
    x = 52,965.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.