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Finding the Fourth Proportional to 52,218, 72,060.84 and 29,862

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Solution

The fourth proportional to 52,218, 72,060.84 and 29,862 is: 41,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,218 : 72,060.84 = 29,862 : x
  2. Step 2: Convert to fraction form
    52,218/72,060.84 = 29,862/x
  3. Step 3: Cross multiply
    52,218x = 72,060.84 × 29,862
  4. Step 4: Simplify right side
    52,218x = 2,151,880,804.08
  5. Step 5: Solve for x
    x = 2,151,880,804.08/52,218
  6. Step 6: Final answer
    x = 41,209.56

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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.