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Finding the Fourth Proportional to 76,674.40, 115,054.80 and 29,921.20

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Solution

The fourth proportional to 76,674.40, 115,054.80 and 29,921.20 is: 44,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,674.40 : 115,054.80 = 29,921.20 : x
  2. Step 2: Convert to fraction form
    76,674.40/115,054.80 = 29,921.20/x
  3. Step 3: Cross multiply
    76,674.40x = 115,054.80 × 29,921.20
  4. Step 4: Simplify right side
    76,674.40x = 3,442,577,681.76
  5. Step 5: Solve for x
    x = 3,442,577,681.76/76,674.40
  6. Step 6: Final answer
    x = 44,898.66

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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.