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Finding the Fourth Proportional to 101,966.79, 152,965.74 and 52,019.64

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Solution

The fourth proportional to 101,966.79, 152,965.74 and 52,019.64 is: 78,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,966.79 : 152,965.74 = 52,019.64 : x
  2. Step 2: Convert to fraction form
    101,966.79/152,965.74 = 52,019.64/x
  3. Step 3: Cross multiply
    101,966.79x = 152,965.74 × 52,019.64
  4. Step 4: Simplify right side
    101,966.79x = 7,957,222,727.13
  5. Step 5: Solve for x
    x = 7,957,222,727.13/101,966.79
  6. Step 6: Final answer
    x = 78,037.40

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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.