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Finding the Fourth Proportional to 125,022, 187,533 and 37,470

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Solution

The fourth proportional to 125,022, 187,533 and 37,470 is: 56,205

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,022 : 187,533 = 37,470 : x
  2. Step 2: Convert to fraction form
    125,022/187,533 = 37,470/x
  3. Step 3: Cross multiply
    125,022x = 187,533 × 37,470
  4. Step 4: Simplify right side
    125,022x = 7,026,861,510
  5. Step 5: Solve for x
    x = 7,026,861,510/125,022
  6. Step 6: Final answer
    x = 56,205

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.