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Finding the Fourth Proportional to 32,705.40, 49,082.94 and 23,963.16

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Solution

The fourth proportional to 32,705.40, 49,082.94 and 23,963.16 is: 35,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.40 : 49,082.94 = 23,963.16 : x
  2. Step 2: Convert to fraction form
    32,705.40/49,082.94 = 23,963.16/x
  3. Step 3: Cross multiply
    32,705.40x = 49,082.94 × 23,963.16
  4. Step 4: Simplify right side
    32,705.40x = 1,176,182,344.49
  5. Step 5: Solve for x
    x = 1,176,182,344.49/32,705.40
  6. Step 6: Final answer
    x = 35,962.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.