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Finding the Fourth Proportional to 72,823.50, 109,277.70 and 30,700.98

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Solution

The fourth proportional to 72,823.50, 109,277.70 and 30,700.98 is: 46,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,823.50 : 109,277.70 = 30,700.98 : x
  2. Step 2: Convert to fraction form
    72,823.50/109,277.70 = 30,700.98/x
  3. Step 3: Cross multiply
    72,823.50x = 109,277.70 × 30,700.98
  4. Step 4: Simplify right side
    72,823.50x = 3,354,932,482.15
  5. Step 5: Solve for x
    x = 3,354,932,482.15/72,823.50
  6. Step 6: Final answer
    x = 46,069.37

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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.