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Finding the Fourth Proportional to 60,133.76, 90,209.28 and 18,584

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Solution

The fourth proportional to 60,133.76, 90,209.28 and 18,584 is: 27,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,133.76 : 90,209.28 = 18,584 : x
  2. Step 2: Convert to fraction form
    60,133.76/90,209.28 = 18,584/x
  3. Step 3: Cross multiply
    60,133.76x = 90,209.28 × 18,584
  4. Step 4: Simplify right side
    60,133.76x = 1,676,449,259.52
  5. Step 5: Solve for x
    x = 1,676,449,259.52/60,133.76
  6. Step 6: Final answer
    x = 27,878.67

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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.