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Finding the Fourth Proportional to 32,046.90, 48,070.46 and 9,860.11

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Solution

The fourth proportional to 32,046.90, 48,070.46 and 9,860.11 is: 14,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.90 : 48,070.46 = 9,860.11 : x
  2. Step 2: Convert to fraction form
    32,046.90/48,070.46 = 9,860.11/x
  3. Step 3: Cross multiply
    32,046.90x = 48,070.46 × 9,860.11
  4. Step 4: Simplify right side
    32,046.90x = 473,980,023.35
  5. Step 5: Solve for x
    x = 473,980,023.35/32,046.90
  6. Step 6: Final answer
    x = 14,790.20

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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.