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Finding the Fourth Proportional to 76,987.45, 106,237.39 and 42,530.66

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Solution

The fourth proportional to 76,987.45, 106,237.39 and 42,530.66 is: 58,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,987.45 : 106,237.39 = 42,530.66 : x
  2. Step 2: Convert to fraction form
    76,987.45/106,237.39 = 42,530.66/x
  3. Step 3: Cross multiply
    76,987.45x = 106,237.39 × 42,530.66
  4. Step 4: Simplify right side
    76,987.45x = 4,518,346,313.38
  5. Step 5: Solve for x
    x = 4,518,346,313.38/76,987.45
  6. Step 6: Final answer
    x = 58,689.39

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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.