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Finding the Fourth Proportional to 86,681.80, 130,022.70 and 57,157.30

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Solution

The fourth proportional to 86,681.80, 130,022.70 and 57,157.30 is: 85,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,681.80 : 130,022.70 = 57,157.30 : x
  2. Step 2: Convert to fraction form
    86,681.80/130,022.70 = 57,157.30/x
  3. Step 3: Cross multiply
    86,681.80x = 130,022.70 × 57,157.30
  4. Step 4: Simplify right side
    86,681.80x = 7,431,746,470.71
  5. Step 5: Solve for x
    x = 7,431,746,470.71/86,681.80
  6. Step 6: Final answer
    x = 85,735.95

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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.