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Finding the Fourth Proportional to 82,653.12, 123,904.08 and 35,889.12

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Solution

The fourth proportional to 82,653.12, 123,904.08 and 35,889.12 is: 53,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,653.12 : 123,904.08 = 35,889.12 : x
  2. Step 2: Convert to fraction form
    82,653.12/123,904.08 = 35,889.12/x
  3. Step 3: Cross multiply
    82,653.12x = 123,904.08 × 35,889.12
  4. Step 4: Simplify right side
    82,653.12x = 4,446,808,395.61
  5. Step 5: Solve for x
    x = 4,446,808,395.61/82,653.12
  6. Step 6: Final answer
    x = 53,800.85

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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.