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Finding the Fourth Proportional to 51,473.76, 77,211.28 and 14,035.68

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Solution

The fourth proportional to 51,473.76, 77,211.28 and 14,035.68 is: 21,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,473.76 : 77,211.28 = 14,035.68 : x
  2. Step 2: Convert to fraction form
    51,473.76/77,211.28 = 14,035.68/x
  3. Step 3: Cross multiply
    51,473.76x = 77,211.28 × 14,035.68
  4. Step 4: Simplify right side
    51,473.76x = 1,083,712,818.47
  5. Step 5: Solve for x
    x = 1,083,712,818.47/51,473.76
  6. Step 6: Final answer
    x = 21,053.69

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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.