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Finding the Fourth Proportional to 88,709.84, 122,422.52 and 48,426

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Solution

The fourth proportional to 88,709.84, 122,422.52 and 48,426 is: 66,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,709.84 : 122,422.52 = 48,426 : x
  2. Step 2: Convert to fraction form
    88,709.84/122,422.52 = 48,426/x
  3. Step 3: Cross multiply
    88,709.84x = 122,422.52 × 48,426
  4. Step 4: Simplify right side
    88,709.84x = 5,928,432,953.52
  5. Step 5: Solve for x
    x = 5,928,432,953.52/88,709.84
  6. Step 6: Final answer
    x = 66,829.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.