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Finding the Fourth Proportional to 42,536.65, 58,700 and 23,673.78

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Solution

The fourth proportional to 42,536.65, 58,700 and 23,673.78 is: 32,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,536.65 : 58,700 = 23,673.78 : x
  2. Step 2: Convert to fraction form
    42,536.65/58,700 = 23,673.78/x
  3. Step 3: Cross multiply
    42,536.65x = 58,700 × 23,673.78
  4. Step 4: Simplify right side
    42,536.65x = 1,389,650,886
  5. Step 5: Solve for x
    x = 1,389,650,886/42,536.65
  6. Step 6: Final answer
    x = 32,669.50

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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.