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Finding the Fourth Proportional to 30,886.70, 46,325.73 and 10,107.50

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Solution

The fourth proportional to 30,886.70, 46,325.73 and 10,107.50 is: 15,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.70 : 46,325.73 = 10,107.50 : x
  2. Step 2: Convert to fraction form
    30,886.70/46,325.73 = 10,107.50/x
  3. Step 3: Cross multiply
    30,886.70x = 46,325.73 × 10,107.50
  4. Step 4: Simplify right side
    30,886.70x = 468,237,315.98
  5. Step 5: Solve for x
    x = 468,237,315.98/30,886.70
  6. Step 6: Final answer
    x = 15,159.84

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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.