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Finding the Fourth Proportional to 65,146.08, 89,901.44 and 35,338.08

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Solution

The fourth proportional to 65,146.08, 89,901.44 and 35,338.08 is: 48,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.08 : 89,901.44 = 35,338.08 : x
  2. Step 2: Convert to fraction form
    65,146.08/89,901.44 = 35,338.08/x
  3. Step 3: Cross multiply
    65,146.08x = 89,901.44 × 35,338.08
  4. Step 4: Simplify right side
    65,146.08x = 3,176,944,278.84
  5. Step 5: Solve for x
    x = 3,176,944,278.84/65,146.08
  6. Step 6: Final answer
    x = 48,766.47

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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.