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Finding the Fourth Proportional to 98,129.55, 147,194.88 and 34,952.13

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Solution

The fourth proportional to 98,129.55, 147,194.88 and 34,952.13 is: 52,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,129.55 : 147,194.88 = 34,952.13 : x
  2. Step 2: Convert to fraction form
    98,129.55/147,194.88 = 34,952.13/x
  3. Step 3: Cross multiply
    98,129.55x = 147,194.88 × 34,952.13
  4. Step 4: Simplify right side
    98,129.55x = 5,144,774,581.09
  5. Step 5: Solve for x
    x = 5,144,774,581.09/98,129.55
  6. Step 6: Final answer
    x = 52,428.39

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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.