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Finding the Fourth Proportional to 30,775.59, 46,163.70 and 9,715.23

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Solution

The fourth proportional to 30,775.59, 46,163.70 and 9,715.23 is: 14,572.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.59 : 46,163.70 = 9,715.23 : x
  2. Step 2: Convert to fraction form
    30,775.59/46,163.70 = 9,715.23/x
  3. Step 3: Cross multiply
    30,775.59x = 46,163.70 × 9,715.23
  4. Step 4: Simplify right side
    30,775.59x = 448,490,963.15
  5. Step 5: Solve for x
    x = 448,490,963.15/30,775.59
  6. Step 6: Final answer
    x = 14,572.94

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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.