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Finding the Fourth Proportional to 113,946.94, 170,900.70 and 30,821.50

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Solution

The fourth proportional to 113,946.94, 170,900.70 and 30,821.50 is: 46,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,946.94 : 170,900.70 = 30,821.50 : x
  2. Step 2: Convert to fraction form
    113,946.94/170,900.70 = 30,821.50/x
  3. Step 3: Cross multiply
    113,946.94x = 170,900.70 × 30,821.50
  4. Step 4: Simplify right side
    113,946.94x = 5,267,415,925.05
  5. Step 5: Solve for x
    x = 5,267,415,925.05/113,946.94
  6. Step 6: Final answer
    x = 46,226.92

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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.