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Finding the Fourth Proportional to 42,329.84, 58,415.16 and 23,466.80

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Solution

The fourth proportional to 42,329.84, 58,415.16 and 23,466.80 is: 32,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,329.84 : 58,415.16 = 23,466.80 : x
  2. Step 2: Convert to fraction form
    42,329.84/58,415.16 = 23,466.80/x
  3. Step 3: Cross multiply
    42,329.84x = 58,415.16 × 23,466.80
  4. Step 4: Simplify right side
    42,329.84x = 1,370,816,876.69
  5. Step 5: Solve for x
    x = 1,370,816,876.69/42,329.84
  6. Step 6: Final answer
    x = 32,384.17

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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.