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Finding the Fourth Proportional to 76,979.38, 106,225.48 and 42,985.21

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Solution

The fourth proportional to 76,979.38, 106,225.48 and 42,985.21 is: 59,316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,979.38 : 106,225.48 = 42,985.21 : x
  2. Step 2: Convert to fraction form
    76,979.38/106,225.48 = 42,985.21/x
  3. Step 3: Cross multiply
    76,979.38x = 106,225.48 × 42,985.21
  4. Step 4: Simplify right side
    76,979.38x = 4,566,124,353.32
  5. Step 5: Solve for x
    x = 4,566,124,353.32/76,979.38
  6. Step 6: Final answer
    x = 59,316.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.