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Finding the Fourth Proportional to 42,057, 58,038.66 and 25,290

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Solution

The fourth proportional to 42,057, 58,038.66 and 25,290 is: 34,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,057 : 58,038.66 = 25,290 : x
  2. Step 2: Convert to fraction form
    42,057/58,038.66 = 25,290/x
  3. Step 3: Cross multiply
    42,057x = 58,038.66 × 25,290
  4. Step 4: Simplify right side
    42,057x = 1,467,797,711.40
  5. Step 5: Solve for x
    x = 1,467,797,711.40/42,057
  6. Step 6: Final answer
    x = 34,900.20

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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.