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Finding the Fourth Proportional to 30,078.52, 45,117.25 and 10,356.64

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Solution

The fourth proportional to 30,078.52, 45,117.25 and 10,356.64 is: 15,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078.52 : 45,117.25 = 10,356.64 : x
  2. Step 2: Convert to fraction form
    30,078.52/45,117.25 = 10,356.64/x
  3. Step 3: Cross multiply
    30,078.52x = 45,117.25 × 10,356.64
  4. Step 4: Simplify right side
    30,078.52x = 467,263,064.26
  5. Step 5: Solve for x
    x = 467,263,064.26/30,078.52
  6. Step 6: Final answer
    x = 15,534.78

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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.