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Finding the Fourth Proportional to 106,948.48, 160,580.42 and 59,655.97

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Solution

The fourth proportional to 106,948.48, 160,580.42 and 59,655.97 is: 89,571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,948.48 : 160,580.42 = 59,655.97 : x
  2. Step 2: Convert to fraction form
    106,948.48/160,580.42 = 59,655.97/x
  3. Step 3: Cross multiply
    106,948.48x = 160,580.42 × 59,655.97
  4. Step 4: Simplify right side
    106,948.48x = 9,579,580,718.11
  5. Step 5: Solve for x
    x = 9,579,580,718.11/106,948.48
  6. Step 6: Final answer
    x = 89,571.92

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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.