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Finding the Fourth Proportional to 58,378.32, 87,596.64 and 23,328

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Solution

The fourth proportional to 58,378.32, 87,596.64 and 23,328 is: 35,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,378.32 : 87,596.64 = 23,328 : x
  2. Step 2: Convert to fraction form
    58,378.32/87,596.64 = 23,328/x
  3. Step 3: Cross multiply
    58,378.32x = 87,596.64 × 23,328
  4. Step 4: Simplify right side
    58,378.32x = 2,043,454,417.92
  5. Step 5: Solve for x
    x = 2,043,454,417.92/58,378.32
  6. Step 6: Final answer
    x = 35,003.65

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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.