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Finding the Fourth Proportional to 52,744.66, 72,784.80 and 28,866.70

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Solution

The fourth proportional to 52,744.66, 72,784.80 and 28,866.70 is: 39,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,744.66 : 72,784.80 = 28,866.70 : x
  2. Step 2: Convert to fraction form
    52,744.66/72,784.80 = 28,866.70/x
  3. Step 3: Cross multiply
    52,744.66x = 72,784.80 × 28,866.70
  4. Step 4: Simplify right side
    52,744.66x = 2,101,056,986.16
  5. Step 5: Solve for x
    x = 2,101,056,986.16/52,744.66
  6. Step 6: Final answer
    x = 39,834.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.