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Finding the Fourth Proportional to 42,283, 58,350.54 and 23,423.77

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Solution

The fourth proportional to 42,283, 58,350.54 and 23,423.77 is: 32,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,283 : 58,350.54 = 23,423.77 : x
  2. Step 2: Convert to fraction form
    42,283/58,350.54 = 23,423.77/x
  3. Step 3: Cross multiply
    42,283x = 58,350.54 × 23,423.77
  4. Step 4: Simplify right side
    42,283x = 1,366,789,628.34
  5. Step 5: Solve for x
    x = 1,366,789,628.34/42,283
  6. Step 6: Final answer
    x = 32,324.80

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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.