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Finding the Fourth Proportional to 31,131.04, 42,962.04 and 17,703.52

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Solution

The fourth proportional to 31,131.04, 42,962.04 and 17,703.52 is: 24,431.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,131.04 : 42,962.04 = 17,703.52 : x
  2. Step 2: Convert to fraction form
    31,131.04/42,962.04 = 17,703.52/x
  3. Step 3: Cross multiply
    31,131.04x = 42,962.04 × 17,703.52
  4. Step 4: Simplify right side
    31,131.04x = 760,579,334.38
  5. Step 5: Solve for x
    x = 760,579,334.38/31,131.04
  6. Step 6: Final answer
    x = 24,431.54

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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.