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Finding the Fourth Proportional to 77,307.54, 115,959.48 and 24,717.48

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Solution

The fourth proportional to 77,307.54, 115,959.48 and 24,717.48 is: 37,075.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,307.54 : 115,959.48 = 24,717.48 : x
  2. Step 2: Convert to fraction form
    77,307.54/115,959.48 = 24,717.48/x
  3. Step 3: Cross multiply
    77,307.54x = 115,959.48 × 24,717.48
  4. Step 4: Simplify right side
    77,307.54x = 2,866,226,127.71
  5. Step 5: Solve for x
    x = 2,866,226,127.71/77,307.54
  6. Step 6: Final answer
    x = 37,075.63

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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.