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Finding the Fourth Proportional to 49,698.77, 74,572.07 and 24,741.00

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Solution

The fourth proportional to 49,698.77, 74,572.07 and 24,741.00 is: 37,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,698.77 : 74,572.07 = 24,741.00 : x
  2. Step 2: Convert to fraction form
    49,698.77/74,572.07 = 24,741.00/x
  3. Step 3: Cross multiply
    49,698.77x = 74,572.07 × 24,741.00
  4. Step 4: Simplify right side
    49,698.77x = 1,844,987,211.01
  5. Step 5: Solve for x
    x = 1,844,987,211.01/49,698.77
  6. Step 6: Final answer
    x = 37,123.40

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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.