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Finding the Fourth Proportional to 97,287, 134,256.24 and 52,575

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Solution

The fourth proportional to 97,287, 134,256.24 and 52,575 is: 72,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,287 : 134,256.24 = 52,575 : x
  2. Step 2: Convert to fraction form
    97,287/134,256.24 = 52,575/x
  3. Step 3: Cross multiply
    97,287x = 134,256.24 × 52,575
  4. Step 4: Simplify right side
    97,287x = 7,058,521,818.00
  5. Step 5: Solve for x
    x = 7,058,521,818.00/97,287
  6. Step 6: Final answer
    x = 72,553.60

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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.