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Finding the Fourth Proportional to 51,461.76, 77,112.95 and 35,697.45

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Solution

The fourth proportional to 51,461.76, 77,112.95 and 35,697.45 is: 53,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,461.76 : 77,112.95 = 35,697.45 : x
  2. Step 2: Convert to fraction form
    51,461.76/77,112.95 = 35,697.45/x
  3. Step 3: Cross multiply
    51,461.76x = 77,112.95 × 35,697.45
  4. Step 4: Simplify right side
    51,461.76x = 2,752,735,498.49
  5. Step 5: Solve for x
    x = 2,752,735,498.49/51,461.76
  6. Step 6: Final answer
    x = 53,490.89

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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.