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Finding the Fourth Proportional to 74,585.81, 102,922.68 and 47,359.89

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Solution

The fourth proportional to 74,585.81, 102,922.68 and 47,359.89 is: 65,353.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,585.81 : 102,922.68 = 47,359.89 : x
  2. Step 2: Convert to fraction form
    74,585.81/102,922.68 = 47,359.89/x
  3. Step 3: Cross multiply
    74,585.81x = 102,922.68 × 47,359.89
  4. Step 4: Simplify right side
    74,585.81x = 4,874,406,288.69
  5. Step 5: Solve for x
    x = 4,874,406,288.69/74,585.81
  6. Step 6: Final answer
    x = 65,353.00

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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.