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Finding the Fourth Proportional to 30,756.16, 45,904.16 and 28,293.76

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Solution

The fourth proportional to 30,756.16, 45,904.16 and 28,293.76 is: 42,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756.16 : 45,904.16 = 28,293.76 : x
  2. Step 2: Convert to fraction form
    30,756.16/45,904.16 = 28,293.76/x
  3. Step 3: Cross multiply
    30,756.16x = 45,904.16 × 28,293.76
  4. Step 4: Simplify right side
    30,756.16x = 1,298,801,286.04
  5. Step 5: Solve for x
    x = 1,298,801,286.04/30,756.16
  6. Step 6: Final answer
    x = 42,228.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.