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Finding the Fourth Proportional to 59,142.28, 88,713.42 and 34,501

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Solution

The fourth proportional to 59,142.28, 88,713.42 and 34,501 is: 51,751.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,142.28 : 88,713.42 = 34,501 : x
  2. Step 2: Convert to fraction form
    59,142.28/88,713.42 = 34,501/x
  3. Step 3: Cross multiply
    59,142.28x = 88,713.42 × 34,501
  4. Step 4: Simplify right side
    59,142.28x = 3,060,701,703.42
  5. Step 5: Solve for x
    x = 3,060,701,703.42/59,142.28
  6. Step 6: Final answer
    x = 51,751.50

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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.