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Finding the Fourth Proportional to 86,713.92, 130,080.48 and 34,116.48

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Solution

The fourth proportional to 86,713.92, 130,080.48 and 34,116.48 is: 51,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,713.92 : 130,080.48 = 34,116.48 : x
  2. Step 2: Convert to fraction form
    86,713.92/130,080.48 = 34,116.48/x
  3. Step 3: Cross multiply
    86,713.92x = 130,080.48 × 34,116.48
  4. Step 4: Simplify right side
    86,713.92x = 4,437,888,094.31
  5. Step 5: Solve for x
    x = 4,437,888,094.31/86,713.92
  6. Step 6: Final answer
    x = 51,178.50

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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.