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Finding the Fourth Proportional to 58,205.88, 87,309.36 and 23,154.48

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Solution

The fourth proportional to 58,205.88, 87,309.36 and 23,154.48 is: 34,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,205.88 : 87,309.36 = 23,154.48 : x
  2. Step 2: Convert to fraction form
    58,205.88/87,309.36 = 23,154.48/x
  3. Step 3: Cross multiply
    58,205.88x = 87,309.36 × 23,154.48
  4. Step 4: Simplify right side
    58,205.88x = 2,021,602,829.93
  5. Step 5: Solve for x
    x = 2,021,602,829.93/58,205.88
  6. Step 6: Final answer
    x = 34,731.93

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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.