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Finding the Fourth Proportional to 97,313.52, 145,970.24 and 23,441.52

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Solution

The fourth proportional to 97,313.52, 145,970.24 and 23,441.52 is: 35,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,313.52 : 145,970.24 = 23,441.52 : x
  2. Step 2: Convert to fraction form
    97,313.52/145,970.24 = 23,441.52/x
  3. Step 3: Cross multiply
    97,313.52x = 145,970.24 × 23,441.52
  4. Step 4: Simplify right side
    97,313.52x = 3,421,764,300.36
  5. Step 5: Solve for x
    x = 3,421,764,300.36/97,313.52
  6. Step 6: Final answer
    x = 35,162.27

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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.