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Finding the Fourth Proportional to 74,526.32, 111,789.72 and 46,766

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Solution

The fourth proportional to 74,526.32, 111,789.72 and 46,766 is: 70,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,526.32 : 111,789.72 = 46,766 : x
  2. Step 2: Convert to fraction form
    74,526.32/111,789.72 = 46,766/x
  3. Step 3: Cross multiply
    74,526.32x = 111,789.72 × 46,766
  4. Step 4: Simplify right side
    74,526.32x = 5,227,958,045.52
  5. Step 5: Solve for x
    x = 5,227,958,045.52/74,526.32
  6. Step 6: Final answer
    x = 70,149.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.