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Finding the Fourth Proportional to 31,102.95, 42,922.07 and 16,955.80

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Solution

The fourth proportional to 31,102.95, 42,922.07 and 16,955.80 is: 23,399.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.95 : 42,922.07 = 16,955.80 : x
  2. Step 2: Convert to fraction form
    31,102.95/42,922.07 = 16,955.80/x
  3. Step 3: Cross multiply
    31,102.95x = 42,922.07 × 16,955.80
  4. Step 4: Simplify right side
    31,102.95x = 727,778,034.51
  5. Step 5: Solve for x
    x = 727,778,034.51/31,102.95
  6. Step 6: Final answer
    x = 23,399.00

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1.5x scale

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.