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Finding the Fourth Proportional to 65,188.49, 89,965.04 and 36,506.70

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Solution

The fourth proportional to 65,188.49, 89,965.04 and 36,506.70 is: 50,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188.49 : 89,965.04 = 36,506.70 : x
  2. Step 2: Convert to fraction form
    65,188.49/89,965.04 = 36,506.70/x
  3. Step 3: Cross multiply
    65,188.49x = 89,965.04 × 36,506.70
  4. Step 4: Simplify right side
    65,188.49x = 3,284,326,543.23
  5. Step 5: Solve for x
    x = 3,284,326,543.23/65,188.49
  6. Step 6: Final answer
    x = 50,382.00

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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.