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Finding the Fourth Proportional to 98,262, 147,393.96 and 24,390

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Solution

The fourth proportional to 98,262, 147,393.96 and 24,390 is: 36,585.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,262 : 147,393.96 = 24,390 : x
  2. Step 2: Convert to fraction form
    98,262/147,393.96 = 24,390/x
  3. Step 3: Cross multiply
    98,262x = 147,393.96 × 24,390
  4. Step 4: Simplify right side
    98,262x = 3,594,938,684.40
  5. Step 5: Solve for x
    x = 3,594,938,684.40/98,262
  6. Step 6: Final answer
    x = 36,585.24

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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.