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Finding the Fourth Proportional to 98,842.60, 148,235.10 and 35,655.40

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Solution

The fourth proportional to 98,842.60, 148,235.10 and 35,655.40 is: 53,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,842.60 : 148,235.10 = 35,655.40 : x
  2. Step 2: Convert to fraction form
    98,842.60/148,235.10 = 35,655.40/x
  3. Step 3: Cross multiply
    98,842.60x = 148,235.10 × 35,655.40
  4. Step 4: Simplify right side
    98,842.60x = 5,285,381,784.54
  5. Step 5: Solve for x
    x = 5,285,381,784.54/98,842.60
  6. Step 6: Final answer
    x = 53,472.71

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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.