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Finding the Fourth Proportional to 38,702.96, 53,410.67 and 21,710.97

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Solution

The fourth proportional to 38,702.96, 53,410.67 and 21,710.97 is: 29,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702.96 : 53,410.67 = 21,710.97 : x
  2. Step 2: Convert to fraction form
    38,702.96/53,410.67 = 21,710.97/x
  3. Step 3: Cross multiply
    38,702.96x = 53,410.67 × 21,710.97
  4. Step 4: Simplify right side
    38,702.96x = 1,159,597,345.50
  5. Step 5: Solve for x
    x = 1,159,597,345.50/38,702.96
  6. Step 6: Final answer
    x = 29,961.47

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1.5x scale

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.