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Finding the Fourth Proportional to 38,776.32, 53,513.28 and 22,014.72

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Solution

The fourth proportional to 38,776.32, 53,513.28 and 22,014.72 is: 30,381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,776.32 : 53,513.28 = 22,014.72 : x
  2. Step 2: Convert to fraction form
    38,776.32/53,513.28 = 22,014.72/x
  3. Step 3: Cross multiply
    38,776.32x = 53,513.28 × 22,014.72
  4. Step 4: Simplify right side
    38,776.32x = 1,178,079,875.48
  5. Step 5: Solve for x
    x = 1,178,079,875.48/38,776.32
  6. Step 6: Final answer
    x = 30,381.43

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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.