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Finding the Fourth Proportional to 58,237.76, 87,356.64 and 27,056

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Solution

The fourth proportional to 58,237.76, 87,356.64 and 27,056 is: 40,584

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,237.76 : 87,356.64 = 27,056 : x
  2. Step 2: Convert to fraction form
    58,237.76/87,356.64 = 27,056/x
  3. Step 3: Cross multiply
    58,237.76x = 87,356.64 × 27,056
  4. Step 4: Simplify right side
    58,237.76x = 2,363,521,251.84
  5. Step 5: Solve for x
    x = 2,363,521,251.84/58,237.76
  6. Step 6: Final answer
    x = 40,584

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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.