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Finding the Fourth Proportional to 32,492.42, 48,740.36 and 10,307.56

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Solution

The fourth proportional to 32,492.42, 48,740.36 and 10,307.56 is: 15,461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,492.42 : 48,740.36 = 10,307.56 : x
  2. Step 2: Convert to fraction form
    32,492.42/48,740.36 = 10,307.56/x
  3. Step 3: Cross multiply
    32,492.42x = 48,740.36 × 10,307.56
  4. Step 4: Simplify right side
    32,492.42x = 502,394,011.73
  5. Step 5: Solve for x
    x = 502,394,011.73/32,492.42
  6. Step 6: Final answer
    x = 15,461.89

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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.