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Finding the Fourth Proportional to 77,013.65, 115,531.41 and 23,710.06

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Solution

The fourth proportional to 77,013.65, 115,531.41 and 23,710.06 is: 35,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,013.65 : 115,531.41 = 23,710.06 : x
  2. Step 2: Convert to fraction form
    77,013.65/115,531.41 = 23,710.06/x
  3. Step 3: Cross multiply
    77,013.65x = 115,531.41 × 23,710.06
  4. Step 4: Simplify right side
    77,013.65x = 2,739,256,208.86
  5. Step 5: Solve for x
    x = 2,739,256,208.86/77,013.65
  6. Step 6: Final answer
    x = 35,568.45

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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.