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Finding the Fourth Proportional to 73,159.28, 109,717.28 and 31,038.83

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Solution

The fourth proportional to 73,159.28, 109,717.28 and 31,038.83 is: 46,549.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,159.28 : 109,717.28 = 31,038.83 : x
  2. Step 2: Convert to fraction form
    73,159.28/109,717.28 = 31,038.83/x
  3. Step 3: Cross multiply
    73,159.28x = 109,717.28 × 31,038.83
  4. Step 4: Simplify right side
    73,159.28x = 3,405,495,846.79
  5. Step 5: Solve for x
    x = 3,405,495,846.79/73,159.28
  6. Step 6: Final answer
    x = 46,549.06

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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.