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Finding the Fourth Proportional to 98,393.59, 147,612.30 and 31,832.23

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Solution

The fourth proportional to 98,393.59, 147,612.30 and 31,832.23 is: 47,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,393.59 : 147,612.30 = 31,832.23 : x
  2. Step 2: Convert to fraction form
    98,393.59/147,612.30 = 31,832.23/x
  3. Step 3: Cross multiply
    98,393.59x = 147,612.30 × 31,832.23
  4. Step 4: Simplify right side
    98,393.59x = 4,698,828,684.43
  5. Step 5: Solve for x
    x = 4,698,828,684.43/98,393.59
  6. Step 6: Final answer
    x = 47,755.43

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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.