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Finding the Fourth Proportional to 98,535.24, 147,807.96 and 47,980.80

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Solution

The fourth proportional to 98,535.24, 147,807.96 and 47,980.80 is: 71,973.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,535.24 : 147,807.96 = 47,980.80 : x
  2. Step 2: Convert to fraction form
    98,535.24/147,807.96 = 47,980.80/x
  3. Step 3: Cross multiply
    98,535.24x = 147,807.96 × 47,980.80
  4. Step 4: Simplify right side
    98,535.24x = 7,091,944,167.17
  5. Step 5: Solve for x
    x = 7,091,944,167.17/98,535.24
  6. Step 6: Final answer
    x = 71,973.68

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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.