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Finding the Fourth Proportional to 97,534, 146,301.06 and 23,662

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Solution

The fourth proportional to 97,534, 146,301.06 and 23,662 is: 35,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,534 : 146,301.06 = 23,662 : x
  2. Step 2: Convert to fraction form
    97,534/146,301.06 = 23,662/x
  3. Step 3: Cross multiply
    97,534x = 146,301.06 × 23,662
  4. Step 4: Simplify right side
    97,534x = 3,461,775,681.72
  5. Step 5: Solve for x
    x = 3,461,775,681.72/97,534
  6. Step 6: Final answer
    x = 35,493.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.