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Finding the Fourth Proportional to 32,094.72, 48,146.68 and 9,909.98

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Solution

The fourth proportional to 32,094.72, 48,146.68 and 9,909.98 is: 14,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.72 : 48,146.68 = 9,909.98 : x
  2. Step 2: Convert to fraction form
    32,094.72/48,146.68 = 9,909.98/x
  3. Step 3: Cross multiply
    32,094.72x = 48,146.68 × 9,909.98
  4. Step 4: Simplify right side
    32,094.72x = 477,132,635.87
  5. Step 5: Solve for x
    x = 477,132,635.87/32,094.72
  6. Step 6: Final answer
    x = 14,866.39

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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.