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Finding the Fourth Proportional to 59,570, 82,360.20 and 56,958.80

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Solution

The fourth proportional to 59,570, 82,360.20 and 56,958.80 is: 78,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,570 : 82,360.20 = 56,958.80 : x
  2. Step 2: Convert to fraction form
    59,570/82,360.20 = 56,958.80/x
  3. Step 3: Cross multiply
    59,570x = 82,360.20 × 56,958.80
  4. Step 4: Simplify right side
    59,570x = 4,691,138,159.76
  5. Step 5: Solve for x
    x = 4,691,138,159.76/59,570
  6. Step 6: Final answer
    x = 78,750.01

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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.