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Finding the Fourth Proportional to 76,465.32, 114,718.65 and 54,418.65

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Solution

The fourth proportional to 76,465.32, 114,718.65 and 54,418.65 is: 81,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,465.32 : 114,718.65 = 54,418.65 : x
  2. Step 2: Convert to fraction form
    76,465.32/114,718.65 = 54,418.65/x
  3. Step 3: Cross multiply
    76,465.32x = 114,718.65 × 54,418.65
  4. Step 4: Simplify right side
    76,465.32x = 6,242,834,062.82
  5. Step 5: Solve for x
    x = 6,242,834,062.82/76,465.32
  6. Step 6: Final answer
    x = 81,642.69

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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.