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Finding the Fourth Proportional to 42,570.88, 58,749.64 and 23,708

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Solution

The fourth proportional to 42,570.88, 58,749.64 and 23,708 is: 32,718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,570.88 : 58,749.64 = 23,708 : x
  2. Step 2: Convert to fraction form
    42,570.88/58,749.64 = 23,708/x
  3. Step 3: Cross multiply
    42,570.88x = 58,749.64 × 23,708
  4. Step 4: Simplify right side
    42,570.88x = 1,392,836,465.12
  5. Step 5: Solve for x
    x = 1,392,836,465.12/42,570.88
  6. Step 6: Final answer
    x = 32,718.06

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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.