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Finding the Fourth Proportional to 65,606.40, 98,342.40 and 32,275.20

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Solution

The fourth proportional to 65,606.40, 98,342.40 and 32,275.20 is: 48,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,606.40 : 98,342.40 = 32,275.20 : x
  2. Step 2: Convert to fraction form
    65,606.40/98,342.40 = 32,275.20/x
  3. Step 3: Cross multiply
    65,606.40x = 98,342.40 × 32,275.20
  4. Step 4: Simplify right side
    65,606.40x = 3,174,020,628.48
  5. Step 5: Solve for x
    x = 3,174,020,628.48/65,606.40
  6. Step 6: Final answer
    x = 48,379.74

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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.