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Finding the Fourth Proportional to 97,754, 134,900.52 and 53,042

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Solution

The fourth proportional to 97,754, 134,900.52 and 53,042 is: 73,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,754 : 134,900.52 = 53,042 : x
  2. Step 2: Convert to fraction form
    97,754/134,900.52 = 53,042/x
  3. Step 3: Cross multiply
    97,754x = 134,900.52 × 53,042
  4. Step 4: Simplify right side
    97,754x = 7,155,393,381.84
  5. Step 5: Solve for x
    x = 7,155,393,381.84/97,754
  6. Step 6: Final answer
    x = 73,197.96

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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.