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Finding the Fourth Proportional to 82,509.68, 113,862.80 and 44,783.12

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Solution

The fourth proportional to 82,509.68, 113,862.80 and 44,783.12 is: 61,800.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509.68 : 113,862.80 = 44,783.12 : x
  2. Step 2: Convert to fraction form
    82,509.68/113,862.80 = 44,783.12/x
  3. Step 3: Cross multiply
    82,509.68x = 113,862.80 × 44,783.12
  4. Step 4: Simplify right side
    82,509.68x = 5,099,131,435.94
  5. Step 5: Solve for x
    x = 5,099,131,435.94/82,509.68
  6. Step 6: Final answer
    x = 61,800.40

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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.