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Finding the Fourth Proportional to 98,432.34, 147,671.98 and 31,872.50

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Solution

The fourth proportional to 98,432.34, 147,671.98 and 31,872.50 is: 47,816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,432.34 : 147,671.98 = 31,872.50 : x
  2. Step 2: Convert to fraction form
    98,432.34/147,671.98 = 31,872.50/x
  3. Step 3: Cross multiply
    98,432.34x = 147,671.98 × 31,872.50
  4. Step 4: Simplify right side
    98,432.34x = 4,706,675,182.55
  5. Step 5: Solve for x
    x = 4,706,675,182.55/98,432.34
  6. Step 6: Final answer
    x = 47,816.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.