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Finding the Fourth Proportional to 97,503.54, 146,276.37 and 30,949.02

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Solution

The fourth proportional to 97,503.54, 146,276.37 and 30,949.02 is: 46,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,503.54 : 146,276.37 = 30,949.02 : x
  2. Step 2: Convert to fraction form
    97,503.54/146,276.37 = 30,949.02/x
  3. Step 3: Cross multiply
    97,503.54x = 146,276.37 × 30,949.02
  4. Step 4: Simplify right side
    97,503.54x = 4,527,110,300.66
  5. Step 5: Solve for x
    x = 4,527,110,300.66/97,503.54
  6. Step 6: Final answer
    x = 46,430.21

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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.