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Finding the Fourth Proportional to 77,089.88, 115,653.12 and 24,499.40

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Solution

The fourth proportional to 77,089.88, 115,653.12 and 24,499.40 is: 36,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,089.88 : 115,653.12 = 24,499.40 : x
  2. Step 2: Convert to fraction form
    77,089.88/115,653.12 = 24,499.40/x
  3. Step 3: Cross multiply
    77,089.88x = 115,653.12 × 24,499.40
  4. Step 4: Simplify right side
    77,089.88x = 2,833,432,048.13
  5. Step 5: Solve for x
    x = 2,833,432,048.13/77,089.88
  6. Step 6: Final answer
    x = 36,754.92

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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.