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Finding the Fourth Proportional to 98,283.42, 147,425.04 and 24,411.42

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Solution

The fourth proportional to 98,283.42, 147,425.04 and 24,411.42 is: 36,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,283.42 : 147,425.04 = 24,411.42 : x
  2. Step 2: Convert to fraction form
    98,283.42/147,425.04 = 24,411.42/x
  3. Step 3: Cross multiply
    98,283.42x = 147,425.04 × 24,411.42
  4. Step 4: Simplify right side
    98,283.42x = 3,598,854,569.96
  5. Step 5: Solve for x
    x = 3,598,854,569.96/98,283.42
  6. Step 6: Final answer
    x = 36,617.11

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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.