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Finding the Fourth Proportional to 30,355.76, 45,538.86 and 9,295.28

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Solution

The fourth proportional to 30,355.76, 45,538.86 and 9,295.28 is: 13,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,355.76 : 45,538.86 = 9,295.28 : x
  2. Step 2: Convert to fraction form
    30,355.76/45,538.86 = 9,295.28/x
  3. Step 3: Cross multiply
    30,355.76x = 45,538.86 × 9,295.28
  4. Step 4: Simplify right side
    30,355.76x = 423,296,454.58
  5. Step 5: Solve for x
    x = 423,296,454.58/30,355.76
  6. Step 6: Final answer
    x = 13,944.52

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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.