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Finding the Fourth Proportional to 97,513, 146,269.50 and 23,641

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Solution

The fourth proportional to 97,513, 146,269.50 and 23,641 is: 35,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,513 : 146,269.50 = 23,641 : x
  2. Step 2: Convert to fraction form
    97,513/146,269.50 = 23,641/x
  3. Step 3: Cross multiply
    97,513x = 146,269.50 × 23,641
  4. Step 4: Simplify right side
    97,513x = 3,457,957,249.50
  5. Step 5: Solve for x
    x = 3,457,957,249.50/97,513
  6. Step 6: Final answer
    x = 35,461.50

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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.