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Finding the Fourth Proportional to 98,955.66, 148,452.03 and 32,399.40

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Solution

The fourth proportional to 98,955.66, 148,452.03 and 32,399.40 is: 48,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,955.66 : 148,452.03 = 32,399.40 : x
  2. Step 2: Convert to fraction form
    98,955.66/148,452.03 = 32,399.40/x
  3. Step 3: Cross multiply
    98,955.66x = 148,452.03 × 32,399.40
  4. Step 4: Simplify right side
    98,955.66x = 4,809,756,700.78
  5. Step 5: Solve for x
    x = 4,809,756,700.78/98,955.66
  6. Step 6: Final answer
    x = 48,605.17

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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.