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Finding the Fourth Proportional to 77,386.99, 116,097.21 and 24,077.95

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Solution

The fourth proportional to 77,386.99, 116,097.21 and 24,077.95 is: 36,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,386.99 : 116,097.21 = 24,077.95 : x
  2. Step 2: Convert to fraction form
    77,386.99/116,097.21 = 24,077.95/x
  3. Step 3: Cross multiply
    77,386.99x = 116,097.21 × 24,077.95
  4. Step 4: Simplify right side
    77,386.99x = 2,795,382,817.52
  5. Step 5: Solve for x
    x = 2,795,382,817.52/77,386.99
  6. Step 6: Final answer
    x = 36,122.13

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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.