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Finding the Fourth Proportional to 82,253.84, 113,509.42 and 46,441.71

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Solution

The fourth proportional to 82,253.84, 113,509.42 and 46,441.71 is: 64,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,253.84 : 113,509.42 = 46,441.71 : x
  2. Step 2: Convert to fraction form
    82,253.84/113,509.42 = 46,441.71/x
  3. Step 3: Cross multiply
    82,253.84x = 113,509.42 × 46,441.71
  4. Step 4: Simplify right side
    82,253.84x = 5,271,571,449.80
  5. Step 5: Solve for x
    x = 5,271,571,449.80/82,253.84
  6. Step 6: Final answer
    x = 64,089.07

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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.