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Finding the Fourth Proportional to 31,135.50, 46,703.66 and 10,359

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Solution

The fourth proportional to 31,135.50, 46,703.66 and 10,359 is: 15,538.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,135.50 : 46,703.66 = 10,359 : x
  2. Step 2: Convert to fraction form
    31,135.50/46,703.66 = 10,359/x
  3. Step 3: Cross multiply
    31,135.50x = 46,703.66 × 10,359
  4. Step 4: Simplify right side
    31,135.50x = 483,803,162.15
  5. Step 5: Solve for x
    x = 483,803,162.15/31,135.50
  6. Step 6: Final answer
    x = 15,538.63

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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.