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Finding the Fourth Proportional to 73,698.29, 110,454.93 and 31,528.77

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Solution

The fourth proportional to 73,698.29, 110,454.93 and 31,528.77 is: 47,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,698.29 : 110,454.93 = 31,528.77 : x
  2. Step 2: Convert to fraction form
    73,698.29/110,454.93 = 31,528.77/x
  3. Step 3: Cross multiply
    73,698.29x = 110,454.93 × 31,528.77
  4. Step 4: Simplify right side
    73,698.29x = 3,482,508,083.34
  5. Step 5: Solve for x
    x = 3,482,508,083.34/73,698.29
  6. Step 6: Final answer
    x = 47,253.58

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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.