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Finding the Fourth Proportional to 77,307.95, 115,956.24 and 24,703.31

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Solution

The fourth proportional to 77,307.95, 115,956.24 and 24,703.31 is: 37,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,307.95 : 115,956.24 = 24,703.31 : x
  2. Step 2: Convert to fraction form
    77,307.95/115,956.24 = 24,703.31/x
  3. Step 3: Cross multiply
    77,307.95x = 115,956.24 × 24,703.31
  4. Step 4: Simplify right side
    77,307.95x = 2,864,502,943.15
  5. Step 5: Solve for x
    x = 2,864,502,943.15/77,307.95
  6. Step 6: Final answer
    x = 37,053.15

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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.