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Finding the Fourth Proportional to 97,605, 134,695.02 and 52,893

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Solution

The fourth proportional to 97,605, 134,695.02 and 52,893 is: 72,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,605 : 134,695.02 = 52,893 : x
  2. Step 2: Convert to fraction form
    97,605/134,695.02 = 52,893/x
  3. Step 3: Cross multiply
    97,605x = 134,695.02 × 52,893
  4. Step 4: Simplify right side
    97,605x = 7,124,423,692.86
  5. Step 5: Solve for x
    x = 7,124,423,692.86/97,605
  6. Step 6: Final answer
    x = 72,992.41

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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.