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Finding the Fourth Proportional to 30,030.16, 45,046.86 and 7,843.60

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Solution

The fourth proportional to 30,030.16, 45,046.86 and 7,843.60 is: 11,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,030.16 : 45,046.86 = 7,843.60 : x
  2. Step 2: Convert to fraction form
    30,030.16/45,046.86 = 7,843.60/x
  3. Step 3: Cross multiply
    30,030.16x = 45,046.86 × 7,843.60
  4. Step 4: Simplify right side
    30,030.16x = 353,329,551.10
  5. Step 5: Solve for x
    x = 353,329,551.10/30,030.16
  6. Step 6: Final answer
    x = 11,765.82

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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.