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Finding the Fourth Proportional to 49,610, 74,345.16 and 38,464.76

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Solution

The fourth proportional to 49,610, 74,345.16 and 38,464.76 is: 57,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,610 : 74,345.16 = 38,464.76 : x
  2. Step 2: Convert to fraction form
    49,610/74,345.16 = 38,464.76/x
  3. Step 3: Cross multiply
    49,610x = 74,345.16 × 38,464.76
  4. Step 4: Simplify right side
    49,610x = 2,859,668,736.56
  5. Step 5: Solve for x
    x = 2,859,668,736.56/49,610
  6. Step 6: Final answer
    x = 57,642.99

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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.