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Finding the Fourth Proportional to 47,332.49, 70,611.11 and 46,045.50

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Solution

The fourth proportional to 47,332.49, 70,611.11 and 46,045.50 is: 68,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,332.49 : 70,611.11 = 46,045.50 : x
  2. Step 2: Convert to fraction form
    47,332.49/70,611.11 = 46,045.50/x
  3. Step 3: Cross multiply
    47,332.49x = 70,611.11 × 46,045.50
  4. Step 4: Simplify right side
    47,332.49x = 3,251,323,543.16
  5. Step 5: Solve for x
    x = 3,251,323,543.16/47,332.49
  6. Step 6: Final answer
    x = 68,691.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.