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Finding the Fourth Proportional to 38,319.04, 52,879.76 and 21,552

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Solution

The fourth proportional to 38,319.04, 52,879.76 and 21,552 is: 29,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,319.04 : 52,879.76 = 21,552 : x
  2. Step 2: Convert to fraction form
    38,319.04/52,879.76 = 21,552/x
  3. Step 3: Cross multiply
    38,319.04x = 52,879.76 × 21,552
  4. Step 4: Simplify right side
    38,319.04x = 1,139,664,587.52
  5. Step 5: Solve for x
    x = 1,139,664,587.52/38,319.04
  6. Step 6: Final answer
    x = 29,741.47

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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.