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Finding the Fourth Proportional to 98,465.69, 147,691.35 and 38,482.90

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Solution

The fourth proportional to 98,465.69, 147,691.35 and 38,482.90 is: 57,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,465.69 : 147,691.35 = 38,482.90 : x
  2. Step 2: Convert to fraction form
    98,465.69/147,691.35 = 38,482.90/x
  3. Step 3: Cross multiply
    98,465.69x = 147,691.35 × 38,482.90
  4. Step 4: Simplify right side
    98,465.69x = 5,683,591,083.69
  5. Step 5: Solve for x
    x = 5,683,591,083.69/98,465.69
  6. Step 6: Final answer
    x = 57,721.54

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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.