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Finding the Fourth Proportional to 52,497.69, 72,433.82 and 32,074.49

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Solution

The fourth proportional to 52,497.69, 72,433.82 and 32,074.49 is: 44,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,497.69 : 72,433.82 = 32,074.49 : x
  2. Step 2: Convert to fraction form
    52,497.69/72,433.82 = 32,074.49/x
  3. Step 3: Cross multiply
    52,497.69x = 72,433.82 × 32,074.49
  4. Step 4: Simplify right side
    52,497.69x = 2,323,277,312.71
  5. Step 5: Solve for x
    x = 2,323,277,312.71/52,497.69
  6. Step 6: Final answer
    x = 44,254.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.