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Finding the Fourth Proportional to 101,635.46, 152,547.72 and 51,752.84

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Solution

The fourth proportional to 101,635.46, 152,547.72 and 51,752.84 is: 77,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,635.46 : 152,547.72 = 51,752.84 : x
  2. Step 2: Convert to fraction form
    101,635.46/152,547.72 = 51,752.84/x
  3. Step 3: Cross multiply
    101,635.46x = 152,547.72 × 51,752.84
  4. Step 4: Simplify right side
    101,635.46x = 7,894,777,745.52
  5. Step 5: Solve for x
    x = 7,894,777,745.52/101,635.46
  6. Step 6: Final answer
    x = 77,677.39

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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.