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Finding the Fourth Proportional to 37,658.96, 51,971.72 and 21,746.32

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Solution

The fourth proportional to 37,658.96, 51,971.72 and 21,746.32 is: 30,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,658.96 : 51,971.72 = 21,746.32 : x
  2. Step 2: Convert to fraction form
    37,658.96/51,971.72 = 21,746.32/x
  3. Step 3: Cross multiply
    37,658.96x = 51,971.72 × 21,746.32
  4. Step 4: Simplify right side
    37,658.96x = 1,130,193,654.07
  5. Step 5: Solve for x
    x = 1,130,193,654.07/37,658.96
  6. Step 6: Final answer
    x = 30,011.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.