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Finding the Fourth Proportional to 38,485.32, 53,114.10 and 21,717

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Solution

The fourth proportional to 38,485.32, 53,114.10 and 21,717 is: 29,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,485.32 : 53,114.10 = 21,717 : x
  2. Step 2: Convert to fraction form
    38,485.32/53,114.10 = 21,717/x
  3. Step 3: Cross multiply
    38,485.32x = 53,114.10 × 21,717
  4. Step 4: Simplify right side
    38,485.32x = 1,153,478,909.70
  5. Step 5: Solve for x
    x = 1,153,478,909.70/38,485.32
  6. Step 6: Final answer
    x = 29,971.92

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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.