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Finding the Fourth Proportional to 38,475.92, 53,097.72 and 21,710

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Solution

The fourth proportional to 38,475.92, 53,097.72 and 21,710 is: 29,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475.92 : 53,097.72 = 21,710 : x
  2. Step 2: Convert to fraction form
    38,475.92/53,097.72 = 21,710/x
  3. Step 3: Cross multiply
    38,475.92x = 53,097.72 × 21,710
  4. Step 4: Simplify right side
    38,475.92x = 1,152,751,501.20
  5. Step 5: Solve for x
    x = 1,152,751,501.20/38,475.92
  6. Step 6: Final answer
    x = 29,960.34

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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.