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Finding the Fourth Proportional to 98,210.97, 147,336.96 and 31,657.83

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Solution

The fourth proportional to 98,210.97, 147,336.96 and 31,657.83 is: 47,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,210.97 : 147,336.96 = 31,657.83 : x
  2. Step 2: Convert to fraction form
    98,210.97/147,336.96 = 31,657.83/x
  3. Step 3: Cross multiply
    98,210.97x = 147,336.96 × 31,657.83
  4. Step 4: Simplify right side
    98,210.97x = 4,664,368,432.40
  5. Step 5: Solve for x
    x = 4,664,368,432.40/98,210.97
  6. Step 6: Final answer
    x = 47,493.35

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1.5x scale

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.