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Finding the Fourth Proportional to 31,066.60, 42,875.70 and 17,642.08

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Solution

The fourth proportional to 31,066.60, 42,875.70 and 17,642.08 is: 24,348.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.60 : 42,875.70 = 17,642.08 : x
  2. Step 2: Convert to fraction form
    31,066.60/42,875.70 = 17,642.08/x
  3. Step 3: Cross multiply
    31,066.60x = 42,875.70 × 17,642.08
  4. Step 4: Simplify right side
    31,066.60x = 756,416,529.46
  5. Step 5: Solve for x
    x = 756,416,529.46/31,066.60
  6. Step 6: Final answer
    x = 24,348.22

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