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Finding the Fourth Proportional to 83,952, 115,853.76 and 46,226.16

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Solution

The fourth proportional to 83,952, 115,853.76 and 46,226.16 is: 63,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952 : 115,853.76 = 46,226.16 : x
  2. Step 2: Convert to fraction form
    83,952/115,853.76 = 46,226.16/x
  3. Step 3: Cross multiply
    83,952x = 115,853.76 × 46,226.16
  4. Step 4: Simplify right side
    83,952x = 5,355,474,446.36
  5. Step 5: Solve for x
    x = 5,355,474,446.36/83,952
  6. Step 6: Final answer
    x = 63,792.10

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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.