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Finding the Fourth Proportional to 59,400, 81,970.56 and 32,543.68

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Solution

The fourth proportional to 59,400, 81,970.56 and 32,543.68 is: 44,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,400 : 81,970.56 = 32,543.68 : x
  2. Step 2: Convert to fraction form
    59,400/81,970.56 = 32,543.68/x
  3. Step 3: Cross multiply
    59,400x = 81,970.56 × 32,543.68
  4. Step 4: Simplify right side
    59,400x = 2,667,623,674.06
  5. Step 5: Solve for x
    x = 2,667,623,674.06/59,400
  6. Step 6: Final answer
    x = 44,909.49

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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.