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Finding the Fourth Proportional to 98,064.79, 147,064.98 and 31,489.13

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Solution

The fourth proportional to 98,064.79, 147,064.98 and 31,489.13 is: 47,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064.79 : 147,064.98 = 31,489.13 : x
  2. Step 2: Convert to fraction form
    98,064.79/147,064.98 = 31,489.13/x
  3. Step 3: Cross multiply
    98,064.79x = 147,064.98 × 31,489.13
  4. Step 4: Simplify right side
    98,064.79x = 4,630,948,273.67
  5. Step 5: Solve for x
    x = 4,630,948,273.67/98,064.79
  6. Step 6: Final answer
    x = 47,223.35

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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.