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Finding the Fourth Proportional to 52,957.13, 79,468.52 and 30,780.95

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Solution

The fourth proportional to 52,957.13, 79,468.52 and 30,780.95 is: 46,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,957.13 : 79,468.52 = 30,780.95 : x
  2. Step 2: Convert to fraction form
    52,957.13/79,468.52 = 30,780.95/x
  3. Step 3: Cross multiply
    52,957.13x = 79,468.52 × 30,780.95
  4. Step 4: Simplify right side
    52,957.13x = 2,446,115,989.45
  5. Step 5: Solve for x
    x = 2,446,115,989.45/52,957.13
  6. Step 6: Final answer
    x = 46,190.50

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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.