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Finding the Fourth Proportional to 42,698, 58,923.24 and 23,835.18

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Solution

The fourth proportional to 42,698, 58,923.24 and 23,835.18 is: 32,892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,698 : 58,923.24 = 23,835.18 : x
  2. Step 2: Convert to fraction form
    42,698/58,923.24 = 23,835.18/x
  3. Step 3: Cross multiply
    42,698x = 58,923.24 × 23,835.18
  4. Step 4: Simplify right side
    42,698x = 1,404,446,031.58
  5. Step 5: Solve for x
    x = 1,404,446,031.58/42,698
  6. Step 6: Final answer
    x = 32,892.55

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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.