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Finding the Fourth Proportional to 32,114.71, 48,160.09 and 11,048.86

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Solution

The fourth proportional to 32,114.71, 48,160.09 and 11,048.86 is: 16,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.71 : 48,160.09 = 11,048.86 : x
  2. Step 2: Convert to fraction form
    32,114.71/48,160.09 = 11,048.86/x
  3. Step 3: Cross multiply
    32,114.71x = 48,160.09 × 11,048.86
  4. Step 4: Simplify right side
    32,114.71x = 532,114,092.00
  5. Step 5: Solve for x
    x = 532,114,092.00/32,114.71
  6. Step 6: Final answer
    x = 16,569.17

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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.