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Finding the Fourth Proportional to 32,307.86, 48,461.82 and 10,121.42

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Solution

The fourth proportional to 32,307.86, 48,461.82 and 10,121.42 is: 15,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,307.86 : 48,461.82 = 10,121.42 : x
  2. Step 2: Convert to fraction form
    32,307.86/48,461.82 = 10,121.42/x
  3. Step 3: Cross multiply
    32,307.86x = 48,461.82 × 10,121.42
  4. Step 4: Simplify right side
    32,307.86x = 490,502,434.18
  5. Step 5: Solve for x
    x = 490,502,434.18/32,307.86
  6. Step 6: Final answer
    x = 15,182.14

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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.