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Finding the Fourth Proportional to 98,259.30, 147,417.66 and 31,697.96

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Solution

The fourth proportional to 98,259.30, 147,417.66 and 31,697.96 is: 47,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,259.30 : 147,417.66 = 31,697.96 : x
  2. Step 2: Convert to fraction form
    98,259.30/147,417.66 = 31,697.96/x
  3. Step 3: Cross multiply
    98,259.30x = 147,417.66 × 31,697.96
  4. Step 4: Simplify right side
    98,259.30x = 4,672,839,089.97
  5. Step 5: Solve for x
    x = 4,672,839,089.97/98,259.30
  6. Step 6: Final answer
    x = 47,556.20

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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.