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Finding the Fourth Proportional to 30,937.70, 46,407.28 and 7,564.34

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Solution

The fourth proportional to 30,937.70, 46,407.28 and 7,564.34 is: 11,346.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,937.70 : 46,407.28 = 7,564.34 : x
  2. Step 2: Convert to fraction form
    30,937.70/46,407.28 = 7,564.34/x
  3. Step 3: Cross multiply
    30,937.70x = 46,407.28 × 7,564.34
  4. Step 4: Simplify right side
    30,937.70x = 351,040,444.40
  5. Step 5: Solve for x
    x = 351,040,444.40/30,937.70
  6. Step 6: Final answer
    x = 11,346.69

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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.