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Finding the Fourth Proportional to 51,809.76, 77,714.64 and 34,275.49

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Solution

The fourth proportional to 51,809.76, 77,714.64 and 34,275.49 is: 51,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809.76 : 77,714.64 = 34,275.49 : x
  2. Step 2: Convert to fraction form
    51,809.76/77,714.64 = 34,275.49/x
  3. Step 3: Cross multiply
    51,809.76x = 77,714.64 × 34,275.49
  4. Step 4: Simplify right side
    51,809.76x = 2,663,707,366.17
  5. Step 5: Solve for x
    x = 2,663,707,366.17/51,809.76
  6. Step 6: Final answer
    x = 51,413.24

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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.