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Finding the Fourth Proportional to 98,347.86, 147,485.61 and 35,150.90

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Solution

The fourth proportional to 98,347.86, 147,485.61 and 35,150.90 is: 52,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,347.86 : 147,485.61 = 35,150.90 : x
  2. Step 2: Convert to fraction form
    98,347.86/147,485.61 = 35,150.90/x
  3. Step 3: Cross multiply
    98,347.86x = 147,485.61 × 35,150.90
  4. Step 4: Simplify right side
    98,347.86x = 5,184,251,191.12
  5. Step 5: Solve for x
    x = 5,184,251,191.12/98,347.86
  6. Step 6: Final answer
    x = 52,713.41

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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.