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Finding the Fourth Proportional to 32,513.86, 48,770.79 and 9,140.30

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Solution

The fourth proportional to 32,513.86, 48,770.79 and 9,140.30 is: 13,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.86 : 48,770.79 = 9,140.30 : x
  2. Step 2: Convert to fraction form
    32,513.86/48,770.79 = 9,140.30/x
  3. Step 3: Cross multiply
    32,513.86x = 48,770.79 × 9,140.30
  4. Step 4: Simplify right side
    32,513.86x = 445,779,651.84
  5. Step 5: Solve for x
    x = 445,779,651.84/32,513.86
  6. Step 6: Final answer
    x = 13,710.45

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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.