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Finding the Fourth Proportional to 30,977.28, 46,465.11 and 7,603.11

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Solution

The fourth proportional to 30,977.28, 46,465.11 and 7,603.11 is: 11,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,977.28 : 46,465.11 = 7,603.11 : x
  2. Step 2: Convert to fraction form
    30,977.28/46,465.11 = 7,603.11/x
  3. Step 3: Cross multiply
    30,977.28x = 46,465.11 × 7,603.11
  4. Step 4: Simplify right side
    30,977.28x = 353,279,342.49
  5. Step 5: Solve for x
    x = 353,279,342.49/30,977.28
  6. Step 6: Final answer
    x = 11,404.47

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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.