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Finding the Fourth Proportional to 38,088.99, 52,569 and 22,774.50

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Solution

The fourth proportional to 38,088.99, 52,569 and 22,774.50 is: 31,432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,088.99 : 52,569 = 22,774.50 : x
  2. Step 2: Convert to fraction form
    38,088.99/52,569 = 22,774.50/x
  3. Step 3: Cross multiply
    38,088.99x = 52,569 × 22,774.50
  4. Step 4: Simplify right side
    38,088.99x = 1,197,232,690.50
  5. Step 5: Solve for x
    x = 1,197,232,690.50/38,088.99
  6. Step 6: Final answer
    x = 31,432.51

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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.