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Finding the Fourth Proportional to 32,501.10, 48,751.98 and 10,314.66

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Solution

The fourth proportional to 32,501.10, 48,751.98 and 10,314.66 is: 15,472.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,501.10 : 48,751.98 = 10,314.66 : x
  2. Step 2: Convert to fraction form
    32,501.10/48,751.98 = 10,314.66/x
  3. Step 3: Cross multiply
    32,501.10x = 48,751.98 × 10,314.66
  4. Step 4: Simplify right side
    32,501.10x = 502,860,098.03
  5. Step 5: Solve for x
    x = 502,860,098.03/32,501.10
  6. Step 6: Final answer
    x = 15,472.09

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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.