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Finding the Fourth Proportional to 76,897.26, 115,275.42 and 26,950.13

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Solution

The fourth proportional to 76,897.26, 115,275.42 and 26,950.13 is: 40,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,897.26 : 115,275.42 = 26,950.13 : x
  2. Step 2: Convert to fraction form
    76,897.26/115,275.42 = 26,950.13/x
  3. Step 3: Cross multiply
    76,897.26x = 115,275.42 × 26,950.13
  4. Step 4: Simplify right side
    76,897.26x = 3,106,687,410.71
  5. Step 5: Solve for x
    x = 3,106,687,410.71/76,897.26
  6. Step 6: Final answer
    x = 40,400.50

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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.