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Finding the Fourth Proportional to 114,547.50, 171,824.49 and 31,441.50

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Solution

The fourth proportional to 114,547.50, 171,824.49 and 31,441.50 is: 47,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,547.50 : 171,824.49 = 31,441.50 : x
  2. Step 2: Convert to fraction form
    114,547.50/171,824.49 = 31,441.50/x
  3. Step 3: Cross multiply
    114,547.50x = 171,824.49 × 31,441.50
  4. Step 4: Simplify right side
    114,547.50x = 5,402,419,702.34
  5. Step 5: Solve for x
    x = 5,402,419,702.34/114,547.50
  6. Step 6: Final answer
    x = 47,163.14

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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.