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Finding the Fourth Proportional to 45,941.76, 63,395.76 and 27,799.28

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Solution

The fourth proportional to 45,941.76, 63,395.76 and 27,799.28 is: 38,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,941.76 : 63,395.76 = 27,799.28 : x
  2. Step 2: Convert to fraction form
    45,941.76/63,395.76 = 27,799.28/x
  3. Step 3: Cross multiply
    45,941.76x = 63,395.76 × 27,799.28
  4. Step 4: Simplify right side
    45,941.76x = 1,762,356,483.05
  5. Step 5: Solve for x
    x = 1,762,356,483.05/45,941.76
  6. Step 6: Final answer
    x = 38,360.67

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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.