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Finding the Fourth Proportional to 38,686.49, 53,359.71 and 35,509.88

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Solution

The fourth proportional to 38,686.49, 53,359.71 and 35,509.88 is: 48,978.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,686.49 : 53,359.71 = 35,509.88 : x
  2. Step 2: Convert to fraction form
    38,686.49/53,359.71 = 35,509.88/x
  3. Step 3: Cross multiply
    38,686.49x = 53,359.71 × 35,509.88
  4. Step 4: Simplify right side
    38,686.49x = 1,894,796,498.97
  5. Step 5: Solve for x
    x = 1,894,796,498.97/38,686.49
  6. Step 6: Final answer
    x = 48,978.24

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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.