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Finding the Fourth Proportional to 75,506.34, 113,108.29 and 45,503.87

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Solution

The fourth proportional to 75,506.34, 113,108.29 and 45,503.87 is: 68,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,506.34 : 113,108.29 = 45,503.87 : x
  2. Step 2: Convert to fraction form
    75,506.34/113,108.29 = 45,503.87/x
  3. Step 3: Cross multiply
    75,506.34x = 113,108.29 × 45,503.87
  4. Step 4: Simplify right side
    75,506.34x = 5,146,864,641.31
  5. Step 5: Solve for x
    x = 5,146,864,641.31/75,506.34
  6. Step 6: Final answer
    x = 68,164.67

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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.