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Finding the Fourth Proportional to 98,607.75, 147,837.78 and 32,008.11

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Solution

The fourth proportional to 98,607.75, 147,837.78 and 32,008.11 is: 47,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,607.75 : 147,837.78 = 32,008.11 : x
  2. Step 2: Convert to fraction form
    98,607.75/147,837.78 = 32,008.11/x
  3. Step 3: Cross multiply
    98,607.75x = 147,837.78 × 32,008.11
  4. Step 4: Simplify right side
    98,607.75x = 4,732,007,924.40
  5. Step 5: Solve for x
    x = 4,732,007,924.40/98,607.75
  6. Step 6: Final answer
    x = 47,988.19

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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.