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Finding the Fourth Proportional to 97,294.78, 134,266.74 and 52,582.78

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Solution

The fourth proportional to 97,294.78, 134,266.74 and 52,582.78 is: 72,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,294.78 : 134,266.74 = 52,582.78 : x
  2. Step 2: Convert to fraction form
    97,294.78/134,266.74 = 52,582.78/x
  3. Step 3: Cross multiply
    97,294.78x = 134,266.74 × 52,582.78
  4. Step 4: Simplify right side
    97,294.78x = 7,060,118,450.74
  5. Step 5: Solve for x
    x = 7,060,118,450.74/97,294.78
  6. Step 6: Final answer
    x = 72,564.21

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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.