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Finding the Fourth Proportional to 98,032, 147,048 and 24,160

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Solution

The fourth proportional to 98,032, 147,048 and 24,160 is: 36,240

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,032 : 147,048 = 24,160 : x
  2. Step 2: Convert to fraction form
    98,032/147,048 = 24,160/x
  3. Step 3: Cross multiply
    98,032x = 147,048 × 24,160
  4. Step 4: Simplify right side
    98,032x = 3,552,679,680
  5. Step 5: Solve for x
    x = 3,552,679,680/98,032
  6. Step 6: Final answer
    x = 36,240

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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.