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Finding the Fourth Proportional to 76,642.41, 114,921.93 and 26,709.11

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Solution

The fourth proportional to 76,642.41, 114,921.93 and 26,709.11 is: 40,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,642.41 : 114,921.93 = 26,709.11 : x
  2. Step 2: Convert to fraction form
    76,642.41/114,921.93 = 26,709.11/x
  3. Step 3: Cross multiply
    76,642.41x = 114,921.93 × 26,709.11
  4. Step 4: Simplify right side
    76,642.41x = 3,069,461,895.17
  5. Step 5: Solve for x
    x = 3,069,461,895.17/76,642.41
  6. Step 6: Final answer
    x = 40,049.13

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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.