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Finding the Fourth Proportional to 58,493.76, 87,757.64 and 21,053.16

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Solution

The fourth proportional to 58,493.76, 87,757.64 and 21,053.16 is: 31,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,493.76 : 87,757.64 = 21,053.16 : x
  2. Step 2: Convert to fraction form
    58,493.76/87,757.64 = 21,053.16/x
  3. Step 3: Cross multiply
    58,493.76x = 87,757.64 × 21,053.16
  4. Step 4: Simplify right side
    58,493.76x = 1,847,575,636.14
  5. Step 5: Solve for x
    x = 1,847,575,636.14/58,493.76
  6. Step 6: Final answer
    x = 31,585.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.