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Finding the Fourth Proportional to 41,506, 57,278.28 and 26,602

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Solution

The fourth proportional to 41,506, 57,278.28 and 26,602 is: 36,710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,506 : 57,278.28 = 26,602 : x
  2. Step 2: Convert to fraction form
    41,506/57,278.28 = 26,602/x
  3. Step 3: Cross multiply
    41,506x = 57,278.28 × 26,602
  4. Step 4: Simplify right side
    41,506x = 1,523,716,804.56
  5. Step 5: Solve for x
    x = 1,523,716,804.56/41,506
  6. Step 6: Final answer
    x = 36,710.76

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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.