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Finding the Fourth Proportional to 30,776.66, 46,148.58 and 15,970.67

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Solution

The fourth proportional to 30,776.66, 46,148.58 and 15,970.67 is: 23,947.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.66 : 46,148.58 = 15,970.67 : x
  2. Step 2: Convert to fraction form
    30,776.66/46,148.58 = 15,970.67/x
  3. Step 3: Cross multiply
    30,776.66x = 46,148.58 × 15,970.67
  4. Step 4: Simplify right side
    30,776.66x = 737,023,742.15
  5. Step 5: Solve for x
    x = 737,023,742.15/30,776.66
  6. Step 6: Final answer
    x = 23,947.49

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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.