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Finding the Fourth Proportional to 98,590.64, 147,780.12 and 35,349.92

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Solution

The fourth proportional to 98,590.64, 147,780.12 and 35,349.92 is: 52,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,590.64 : 147,780.12 = 35,349.92 : x
  2. Step 2: Convert to fraction form
    98,590.64/147,780.12 = 35,349.92/x
  3. Step 3: Cross multiply
    98,590.64x = 147,780.12 × 35,349.92
  4. Step 4: Simplify right side
    98,590.64x = 5,224,015,419.59
  5. Step 5: Solve for x
    x = 5,224,015,419.59/98,590.64
  6. Step 6: Final answer
    x = 52,986.93

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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.