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Finding the Fourth Proportional to 106,952, 160,585.69 and 59,659.48

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Solution

The fourth proportional to 106,952, 160,585.69 and 59,659.48 is: 89,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,952 : 160,585.69 = 59,659.48 : x
  2. Step 2: Convert to fraction form
    106,952/160,585.69 = 59,659.48/x
  3. Step 3: Cross multiply
    106,952x = 160,585.69 × 59,659.48
  4. Step 4: Simplify right side
    106,952x = 9,580,458,760.84
  5. Step 5: Solve for x
    x = 9,580,458,760.84/106,952
  6. Step 6: Final answer
    x = 89,577.18

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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.