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Finding the Fourth Proportional to 98,051.64, 147,050.12 and 34,863.76

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Solution

The fourth proportional to 98,051.64, 147,050.12 and 34,863.76 is: 52,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,051.64 : 147,050.12 = 34,863.76 : x
  2. Step 2: Convert to fraction form
    98,051.64/147,050.12 = 34,863.76/x
  3. Step 3: Cross multiply
    98,051.64x = 147,050.12 × 34,863.76
  4. Step 4: Simplify right side
    98,051.64x = 5,126,720,091.65
  5. Step 5: Solve for x
    x = 5,126,720,091.65/98,051.64
  6. Step 6: Final answer
    x = 52,285.92

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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.