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Finding the Fourth Proportional to 32,312.33, 48,468.50 and 10,127.42

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Solution

The fourth proportional to 32,312.33, 48,468.50 and 10,127.42 is: 15,191.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,312.33 : 48,468.50 = 10,127.42 : x
  2. Step 2: Convert to fraction form
    32,312.33/48,468.50 = 10,127.42/x
  3. Step 3: Cross multiply
    32,312.33x = 48,468.50 × 10,127.42
  4. Step 4: Simplify right side
    32,312.33x = 490,860,805.63
  5. Step 5: Solve for x
    x = 490,860,805.63/32,312.33
  6. Step 6: Final answer
    x = 15,191.13

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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.