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Finding the Fourth Proportional to 31,095.02, 42,911.75 and 16,947.86

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Solution

The fourth proportional to 31,095.02, 42,911.75 and 16,947.86 is: 23,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095.02 : 42,911.75 = 16,947.86 : x
  2. Step 2: Convert to fraction form
    31,095.02/42,911.75 = 16,947.86/x
  3. Step 3: Cross multiply
    31,095.02x = 42,911.75 × 16,947.86
  4. Step 4: Simplify right side
    31,095.02x = 727,262,159.17
  5. Step 5: Solve for x
    x = 727,262,159.17/31,095.02
  6. Step 6: Final answer
    x = 23,388.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.