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Finding the Fourth Proportional to 32,705.70, 49,059 and 9,332.13

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Solution

The fourth proportional to 32,705.70, 49,059 and 9,332.13 is: 13,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.70 : 49,059 = 9,332.13 : x
  2. Step 2: Convert to fraction form
    32,705.70/49,059 = 9,332.13/x
  3. Step 3: Cross multiply
    32,705.70x = 49,059 × 9,332.13
  4. Step 4: Simplify right side
    32,705.70x = 457,824,965.67
  5. Step 5: Solve for x
    x = 457,824,965.67/32,705.70
  6. Step 6: Final answer
    x = 13,998.32

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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.