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Finding the Fourth Proportional to 42,534.41, 58,696.89 and 23,671.53

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Solution

The fourth proportional to 42,534.41, 58,696.89 and 23,671.53 is: 32,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,534.41 : 58,696.89 = 23,671.53 : x
  2. Step 2: Convert to fraction form
    42,534.41/58,696.89 = 23,671.53/x
  3. Step 3: Cross multiply
    42,534.41x = 58,696.89 × 23,671.53
  4. Step 4: Simplify right side
    42,534.41x = 1,389,445,192.54
  5. Step 5: Solve for x
    x = 1,389,445,192.54/42,534.41
  6. Step 6: Final answer
    x = 32,666.38

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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.