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Finding the Fourth Proportional to 76,955.76, 106,193.48 and 45,118.50

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Solution

The fourth proportional to 76,955.76, 106,193.48 and 45,118.50 is: 62,260.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,955.76 : 106,193.48 = 45,118.50 : x
  2. Step 2: Convert to fraction form
    76,955.76/106,193.48 = 45,118.50/x
  3. Step 3: Cross multiply
    76,955.76x = 106,193.48 × 45,118.50
  4. Step 4: Simplify right side
    76,955.76x = 4,791,290,301.79
  5. Step 5: Solve for x
    x = 4,791,290,301.79/76,955.76
  6. Step 6: Final answer
    x = 62,260.32

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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.