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Finding the Fourth Proportional to 30,391.74, 45,587.34 and 9,615.24

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Solution

The fourth proportional to 30,391.74, 45,587.34 and 9,615.24 is: 14,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,391.74 : 45,587.34 = 9,615.24 : x
  2. Step 2: Convert to fraction form
    30,391.74/45,587.34 = 9,615.24/x
  3. Step 3: Cross multiply
    30,391.74x = 45,587.34 × 9,615.24
  4. Step 4: Simplify right side
    30,391.74x = 438,333,215.06
  5. Step 5: Solve for x
    x = 438,333,215.06/30,391.74
  6. Step 6: Final answer
    x = 14,422.77

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