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Finding the Fourth Proportional to 32,842.72, 49,264.03 and 10,658.31

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Solution

The fourth proportional to 32,842.72, 49,264.03 and 10,658.31 is: 15,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.72 : 49,264.03 = 10,658.31 : x
  2. Step 2: Convert to fraction form
    32,842.72/49,264.03 = 10,658.31/x
  3. Step 3: Cross multiply
    32,842.72x = 49,264.03 × 10,658.31
  4. Step 4: Simplify right side
    32,842.72x = 525,071,303.59
  5. Step 5: Solve for x
    x = 525,071,303.59/32,842.72
  6. Step 6: Final answer
    x = 15,987.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.