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Finding the Fourth Proportional to 38,476.10, 53,088 and 23,368.34

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Solution

The fourth proportional to 38,476.10, 53,088 and 23,368.34 is: 32,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.10 : 53,088 = 23,368.34 : x
  2. Step 2: Convert to fraction form
    38,476.10/53,088 = 23,368.34/x
  3. Step 3: Cross multiply
    38,476.10x = 53,088 × 23,368.34
  4. Step 4: Simplify right side
    38,476.10x = 1,240,578,433.92
  5. Step 5: Solve for x
    x = 1,240,578,433.92/38,476.10
  6. Step 6: Final answer
    x = 32,242.83

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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.