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Finding the Fourth Proportional to 97,570.79, 146,314.80 and 30,993.11

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Solution

The fourth proportional to 97,570.79, 146,314.80 and 30,993.11 is: 46,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,570.79 : 146,314.80 = 30,993.11 : x
  2. Step 2: Convert to fraction form
    97,570.79/146,314.80 = 30,993.11/x
  3. Step 3: Cross multiply
    97,570.79x = 146,314.80 × 30,993.11
  4. Step 4: Simplify right side
    97,570.79x = 4,534,749,959.45
  5. Step 5: Solve for x
    x = 4,534,749,959.45/97,570.79
  6. Step 6: Final answer
    x = 46,476.51

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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.