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Finding the Fourth Proportional to 97,614, 134,707.41 and 52,902

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Solution

The fourth proportional to 97,614, 134,707.41 and 52,902 is: 73,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,614 : 134,707.41 = 52,902 : x
  2. Step 2: Convert to fraction form
    97,614/134,707.41 = 52,902/x
  3. Step 3: Cross multiply
    97,614x = 134,707.41 × 52,902
  4. Step 4: Simplify right side
    97,614x = 7,126,291,403.82
  5. Step 5: Solve for x
    x = 7,126,291,403.82/97,614
  6. Step 6: Final answer
    x = 73,004.81

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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.