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Finding the Fourth Proportional to 114,959, 172,438.52 and 31,853

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Solution

The fourth proportional to 114,959, 172,438.52 and 31,853 is: 47,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,959 : 172,438.52 = 31,853 : x
  2. Step 2: Convert to fraction form
    114,959/172,438.52 = 31,853/x
  3. Step 3: Cross multiply
    114,959x = 172,438.52 × 31,853
  4. Step 4: Simplify right side
    114,959x = 5,492,684,177.56
  5. Step 5: Solve for x
    x = 5,492,684,177.56/114,959
  6. Step 6: Final answer
    x = 47,779.51

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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.