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Finding the Fourth Proportional to 76,718.50, 115,094.14 and 24,132.08

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Solution

The fourth proportional to 76,718.50, 115,094.14 and 24,132.08 is: 36,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,718.50 : 115,094.14 = 24,132.08 : x
  2. Step 2: Convert to fraction form
    76,718.50/115,094.14 = 24,132.08/x
  3. Step 3: Cross multiply
    76,718.50x = 115,094.14 × 24,132.08
  4. Step 4: Simplify right side
    76,718.50x = 2,777,460,994.01
  5. Step 5: Solve for x
    x = 2,777,460,994.01/76,718.50
  6. Step 6: Final answer
    x = 36,203.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.