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Finding the Fourth Proportional to 105,197.72, 157,738.26 and 35,038.76

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Solution

The fourth proportional to 105,197.72, 157,738.26 and 35,038.76 is: 52,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,197.72 : 157,738.26 = 35,038.76 : x
  2. Step 2: Convert to fraction form
    105,197.72/157,738.26 = 35,038.76/x
  3. Step 3: Cross multiply
    105,197.72x = 157,738.26 × 35,038.76
  4. Step 4: Simplify right side
    105,197.72x = 5,526,953,034.96
  5. Step 5: Solve for x
    x = 5,526,953,034.96/105,197.72
  6. Step 6: Final answer
    x = 52,538.72

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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.