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Finding the Fourth Proportional to 32,442.68, 48,657.50 and 9,069.32

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Solution

The fourth proportional to 32,442.68, 48,657.50 and 9,069.32 is: 13,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.68 : 48,657.50 = 9,069.32 : x
  2. Step 2: Convert to fraction form
    32,442.68/48,657.50 = 9,069.32/x
  3. Step 3: Cross multiply
    32,442.68x = 48,657.50 × 9,069.32
  4. Step 4: Simplify right side
    32,442.68x = 441,290,437.90
  5. Step 5: Solve for x
    x = 441,290,437.90/32,442.68
  6. Step 6: Final answer
    x = 13,602.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.