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Finding the Fourth Proportional to 73,165.69, 109,746.08 and 31,018.66

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Solution

The fourth proportional to 73,165.69, 109,746.08 and 31,018.66 is: 46,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,165.69 : 109,746.08 = 31,018.66 : x
  2. Step 2: Convert to fraction form
    73,165.69/109,746.08 = 31,018.66/x
  3. Step 3: Cross multiply
    73,165.69x = 109,746.08 × 31,018.66
  4. Step 4: Simplify right side
    73,165.69x = 3,404,176,145.03
  5. Step 5: Solve for x
    x = 3,404,176,145.03/73,165.69
  6. Step 6: Final answer
    x = 46,526.95

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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.