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Finding the Fourth Proportional to 82,509.12, 113,859.54 and 44,782.56

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Solution

The fourth proportional to 82,509.12, 113,859.54 and 44,782.56 is: 61,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,509.12 : 113,859.54 = 44,782.56 : x
  2. Step 2: Convert to fraction form
    82,509.12/113,859.54 = 44,782.56/x
  3. Step 3: Cross multiply
    82,509.12x = 113,859.54 × 44,782.56
  4. Step 4: Simplify right side
    82,509.12x = 5,098,921,681.62
  5. Step 5: Solve for x
    x = 5,098,921,681.62/82,509.12
  6. Step 6: Final answer
    x = 61,798.28

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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.