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Finding the Fourth Proportional to 86,534.52, 129,724.62 and 46,574.97

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Solution

The fourth proportional to 86,534.52, 129,724.62 and 46,574.97 is: 69,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,534.52 : 129,724.62 = 46,574.97 : x
  2. Step 2: Convert to fraction form
    86,534.52/129,724.62 = 46,574.97/x
  3. Step 3: Cross multiply
    86,534.52x = 129,724.62 × 46,574.97
  4. Step 4: Simplify right side
    86,534.52x = 6,041,920,284.76
  5. Step 5: Solve for x
    x = 6,041,920,284.76/86,534.52
  6. Step 6: Final answer
    x = 69,820.93

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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.