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Finding the Fourth Proportional to 97,750, 134,895.72 and 53,038

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Solution

The fourth proportional to 97,750, 134,895.72 and 53,038 is: 73,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,750 : 134,895.72 = 53,038 : x
  2. Step 2: Convert to fraction form
    97,750/134,895.72 = 53,038/x
  3. Step 3: Cross multiply
    97,750x = 134,895.72 × 53,038
  4. Step 4: Simplify right side
    97,750x = 7,154,599,197.36
  5. Step 5: Solve for x
    x = 7,154,599,197.36/97,750
  6. Step 6: Final answer
    x = 73,192.83

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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.