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Finding the Fourth Proportional to 71,669.95, 107,402.83 and 52,801.60

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Solution

The fourth proportional to 71,669.95, 107,402.83 and 52,801.60 is: 79,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,669.95 : 107,402.83 = 52,801.60 : x
  2. Step 2: Convert to fraction form
    71,669.95/107,402.83 = 52,801.60/x
  3. Step 3: Cross multiply
    71,669.95x = 107,402.83 × 52,801.60
  4. Step 4: Simplify right side
    71,669.95x = 5,671,041,268.53
  5. Step 5: Solve for x
    x = 5,671,041,268.53/71,669.95
  6. Step 6: Final answer
    x = 79,127.18

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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.