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Finding the Fourth Proportional to 37,527, 51,782.76 and 21,616.62

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Solution

The fourth proportional to 37,527, 51,782.76 and 21,616.62 is: 29,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,527 : 51,782.76 = 21,616.62 : x
  2. Step 2: Convert to fraction form
    37,527/51,782.76 = 21,616.62/x
  3. Step 3: Cross multiply
    37,527x = 51,782.76 × 21,616.62
  4. Step 4: Simplify right side
    37,527x = 1,119,368,245.47
  5. Step 5: Solve for x
    x = 1,119,368,245.47/37,527
  6. Step 6: Final answer
    x = 29,828.34

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1.5x scale

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.