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Finding the Fourth Proportional to 42,340.80, 58,433.76 and 23,484

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Solution

The fourth proportional to 42,340.80, 58,433.76 and 23,484 is: 32,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,340.80 : 58,433.76 = 23,484 : x
  2. Step 2: Convert to fraction form
    42,340.80/58,433.76 = 23,484/x
  3. Step 3: Cross multiply
    42,340.80x = 58,433.76 × 23,484
  4. Step 4: Simplify right side
    42,340.80x = 1,372,258,419.84
  5. Step 5: Solve for x
    x = 1,372,258,419.84/42,340.80
  6. Step 6: Final answer
    x = 32,409.84

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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.