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Finding the Fourth Proportional to 107,980.90, 161,975.13 and 29,097.02

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Solution

The fourth proportional to 107,980.90, 161,975.13 and 29,097.02 is: 43,646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,980.90 : 161,975.13 = 29,097.02 : x
  2. Step 2: Convert to fraction form
    107,980.90/161,975.13 = 29,097.02/x
  3. Step 3: Cross multiply
    107,980.90x = 161,975.13 × 29,097.02
  4. Step 4: Simplify right side
    107,980.90x = 4,712,993,597.11
  5. Step 5: Solve for x
    x = 4,712,993,597.11/107,980.90
  6. Step 6: Final answer
    x = 43,646.55

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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.