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Finding the Fourth Proportional to 58,076.80, 87,144 and 23,015.68

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Solution

The fourth proportional to 58,076.80, 87,144 and 23,015.68 is: 34,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,076.80 : 87,144 = 23,015.68 : x
  2. Step 2: Convert to fraction form
    58,076.80/87,144 = 23,015.68/x
  3. Step 3: Cross multiply
    58,076.80x = 87,144 × 23,015.68
  4. Step 4: Simplify right side
    58,076.80x = 2,005,678,417.92
  5. Step 5: Solve for x
    x = 2,005,678,417.92/58,076.80
  6. Step 6: Final answer
    x = 34,534.93

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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.