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Finding the Fourth Proportional to 31,762.04, 43,833 and 17,613.92

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Solution

The fourth proportional to 31,762.04, 43,833 and 17,613.92 is: 24,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.04 : 43,833 = 17,613.92 : x
  2. Step 2: Convert to fraction form
    31,762.04/43,833 = 17,613.92/x
  3. Step 3: Cross multiply
    31,762.04x = 43,833 × 17,613.92
  4. Step 4: Simplify right side
    31,762.04x = 772,070,955.36
  5. Step 5: Solve for x
    x = 772,070,955.36/31,762.04
  6. Step 6: Final answer
    x = 24,307.98

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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.