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Finding the Fourth Proportional to 89,501.85, 134,245.71 and 52,038

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Solution

The fourth proportional to 89,501.85, 134,245.71 and 52,038 is: 78,052.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,501.85 : 134,245.71 = 52,038 : x
  2. Step 2: Convert to fraction form
    89,501.85/134,245.71 = 52,038/x
  3. Step 3: Cross multiply
    89,501.85x = 134,245.71 × 52,038
  4. Step 4: Simplify right side
    89,501.85x = 6,985,878,256.98
  5. Step 5: Solve for x
    x = 6,985,878,256.98/89,501.85
  6. Step 6: Final answer
    x = 78,052.89

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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.