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Finding the Fourth Proportional to 82,253.59, 113,509.07 and 46,441.46

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Solution

The fourth proportional to 82,253.59, 113,509.07 and 46,441.46 is: 64,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,253.59 : 113,509.07 = 46,441.46 : x
  2. Step 2: Convert to fraction form
    82,253.59/113,509.07 = 46,441.46/x
  3. Step 3: Cross multiply
    82,253.59x = 113,509.07 × 46,441.46
  4. Step 4: Simplify right side
    82,253.59x = 5,271,526,934.04
  5. Step 5: Solve for x
    x = 5,271,526,934.04/82,253.59
  6. Step 6: Final answer
    x = 64,088.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.