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Finding the Fourth Proportional to 98,387.68, 147,586.13 and 31,833.01

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Solution

The fourth proportional to 98,387.68, 147,586.13 and 31,833.01 is: 47,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,387.68 : 147,586.13 = 31,833.01 : x
  2. Step 2: Convert to fraction form
    98,387.68/147,586.13 = 31,833.01/x
  3. Step 3: Cross multiply
    98,387.68x = 147,586.13 × 31,833.01
  4. Step 4: Simplify right side
    98,387.68x = 4,698,111,014.86
  5. Step 5: Solve for x
    x = 4,698,111,014.86/98,387.68
  6. Step 6: Final answer
    x = 47,751.01

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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.