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Finding the Fourth Proportional to 98,657.46, 147,987.54 and 32,097.93

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Solution

The fourth proportional to 98,657.46, 147,987.54 and 32,097.93 is: 48,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,657.46 : 147,987.54 = 32,097.93 : x
  2. Step 2: Convert to fraction form
    98,657.46/147,987.54 = 32,097.93/x
  3. Step 3: Cross multiply
    98,657.46x = 147,987.54 × 32,097.93
  4. Step 4: Simplify right side
    98,657.46x = 4,750,093,699.79
  5. Step 5: Solve for x
    x = 4,750,093,699.79/98,657.46
  6. Step 6: Final answer
    x = 48,147.33

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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.