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Finding the Fourth Proportional to 32,442.75, 48,664.13 and 9,070.20

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Solution

The fourth proportional to 32,442.75, 48,664.13 and 9,070.20 is: 13,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.75 : 48,664.13 = 9,070.20 : x
  2. Step 2: Convert to fraction form
    32,442.75/48,664.13 = 9,070.20/x
  3. Step 3: Cross multiply
    32,442.75x = 48,664.13 × 9,070.20
  4. Step 4: Simplify right side
    32,442.75x = 441,393,346.58
  5. Step 5: Solve for x
    x = 441,393,346.58/32,442.75
  6. Step 6: Final answer
    x = 13,605.30

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1.5x scale

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.