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Finding the Fourth Proportional to 52,567.74, 72,544.50 and 28,696.50

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Solution

The fourth proportional to 52,567.74, 72,544.50 and 28,696.50 is: 39,601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,567.74 : 72,544.50 = 28,696.50 : x
  2. Step 2: Convert to fraction form
    52,567.74/72,544.50 = 28,696.50/x
  3. Step 3: Cross multiply
    52,567.74x = 72,544.50 × 28,696.50
  4. Step 4: Simplify right side
    52,567.74x = 2,081,773,244.25
  5. Step 5: Solve for x
    x = 2,081,773,244.25/52,567.74
  6. Step 6: Final answer
    x = 39,601.73

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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.