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Finding the Fourth Proportional to 32,650.65, 48,971.61 and 14,862.14

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Solution

The fourth proportional to 32,650.65, 48,971.61 and 14,862.14 is: 22,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,650.65 : 48,971.61 = 14,862.14 : x
  2. Step 2: Convert to fraction form
    32,650.65/48,971.61 = 14,862.14/x
  3. Step 3: Cross multiply
    32,650.65x = 48,971.61 × 14,862.14
  4. Step 4: Simplify right side
    32,650.65x = 727,822,678.99
  5. Step 5: Solve for x
    x = 727,822,678.99/32,650.65
  6. Step 6: Final answer
    x = 22,291.22

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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.