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Finding the Fourth Proportional to 106,047.59, 159,063.11 and 61,646.02

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Solution

The fourth proportional to 106,047.59, 159,063.11 and 61,646.02 is: 92,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,047.59 : 159,063.11 = 61,646.02 : x
  2. Step 2: Convert to fraction form
    106,047.59/159,063.11 = 61,646.02/x
  3. Step 3: Cross multiply
    106,047.59x = 159,063.11 × 61,646.02
  4. Step 4: Simplify right side
    106,047.59x = 9,805,607,660.32
  5. Step 5: Solve for x
    x = 9,805,607,660.32/106,047.59
  6. Step 6: Final answer
    x = 92,464.22

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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.