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Finding the Fourth Proportional to 32,712.91, 49,070.62 and 10,225.66

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Solution

The fourth proportional to 32,712.91, 49,070.62 and 10,225.66 is: 15,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712.91 : 49,070.62 = 10,225.66 : x
  2. Step 2: Convert to fraction form
    32,712.91/49,070.62 = 10,225.66/x
  3. Step 3: Cross multiply
    32,712.91x = 49,070.62 × 10,225.66
  4. Step 4: Simplify right side
    32,712.91x = 501,779,476.11
  5. Step 5: Solve for x
    x = 501,779,476.11/32,712.91
  6. Step 6: Final answer
    x = 15,338.88

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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.