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Finding the Fourth Proportional to 38,154.02, 52,653.17 and 21,159

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Solution

The fourth proportional to 38,154.02, 52,653.17 and 21,159 is: 29,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,154.02 : 52,653.17 = 21,159 : x
  2. Step 2: Convert to fraction form
    38,154.02/52,653.17 = 21,159/x
  3. Step 3: Cross multiply
    38,154.02x = 52,653.17 × 21,159
  4. Step 4: Simplify right side
    38,154.02x = 1,114,088,476.93
  5. Step 5: Solve for x
    x = 1,114,088,476.93/38,154.02
  6. Step 6: Final answer
    x = 29,199.77

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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.