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Finding the Fourth Proportional to 21,221.48, 32,031.65 and 21,221.48

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Solution

The fourth proportional to 21,221.48, 32,031.65 and 21,221.48 is: 32,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.48 : 32,031.65 = 21,221.48 : x
  2. Step 2: Convert to fraction form
    21,221.48/32,031.65 = 21,221.48/x
  3. Step 3: Cross multiply
    21,221.48x = 32,031.65 × 21,221.48
  4. Step 4: Simplify right side
    21,221.48x = 679,759,019.84
  5. Step 5: Solve for x
    x = 679,759,019.84/21,221.48
  6. Step 6: Final answer
    x = 32,031.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.