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Finding the Fourth Proportional to 97,394.24, 134,420.52 and 56,552

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Solution

The fourth proportional to 97,394.24, 134,420.52 and 56,552 is: 78,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,394.24 : 134,420.52 = 56,552 : x
  2. Step 2: Convert to fraction form
    97,394.24/134,420.52 = 56,552/x
  3. Step 3: Cross multiply
    97,394.24x = 134,420.52 × 56,552
  4. Step 4: Simplify right side
    97,394.24x = 7,601,749,247.04
  5. Step 5: Solve for x
    x = 7,601,749,247.04/97,394.24
  6. Step 6: Final answer
    x = 78,051.32

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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.