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Finding the Fourth Proportional to 65,146.52, 89,804.20 and 50,974.76

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Solution

The fourth proportional to 65,146.52, 89,804.20 and 50,974.76 is: 70,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.52 : 89,804.20 = 50,974.76 : x
  2. Step 2: Convert to fraction form
    65,146.52/89,804.20 = 50,974.76/x
  3. Step 3: Cross multiply
    65,146.52x = 89,804.20 × 50,974.76
  4. Step 4: Simplify right side
    65,146.52x = 4,577,747,541.99
  5. Step 5: Solve for x
    x = 4,577,747,541.99/65,146.52
  6. Step 6: Final answer
    x = 70,268.49

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1.5x scale

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.