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Finding the Fourth Proportional to 32,046.78, 48,070.17 and 12,334.62

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Solution

The fourth proportional to 32,046.78, 48,070.17 and 12,334.62 is: 18,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,046.78 : 48,070.17 = 12,334.62 : x
  2. Step 2: Convert to fraction form
    32,046.78/48,070.17 = 12,334.62/x
  3. Step 3: Cross multiply
    32,046.78x = 48,070.17 × 12,334.62
  4. Step 4: Simplify right side
    32,046.78x = 592,927,280.29
  5. Step 5: Solve for x
    x = 592,927,280.29/32,046.78
  6. Step 6: Final answer
    x = 18,501.93

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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.