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Finding the Fourth Proportional to 30,700.08, 46,050.09 and 9,641.76

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Solution

The fourth proportional to 30,700.08, 46,050.09 and 9,641.76 is: 14,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.08 : 46,050.09 = 9,641.76 : x
  2. Step 2: Convert to fraction form
    30,700.08/46,050.09 = 9,641.76/x
  3. Step 3: Cross multiply
    30,700.08x = 46,050.09 × 9,641.76
  4. Step 4: Simplify right side
    30,700.08x = 444,003,915.76
  5. Step 5: Solve for x
    x = 444,003,915.76/30,700.08
  6. Step 6: Final answer
    x = 14,462.63

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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.