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Finding the Fourth Proportional to 46,407.50, 69,682.32 and 40,907.20

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Solution

The fourth proportional to 46,407.50, 69,682.32 and 40,907.20 is: 61,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,407.50 : 69,682.32 = 40,907.20 : x
  2. Step 2: Convert to fraction form
    46,407.50/69,682.32 = 40,907.20/x
  3. Step 3: Cross multiply
    46,407.50x = 69,682.32 × 40,907.20
  4. Step 4: Simplify right side
    46,407.50x = 2,850,508,600.70
  5. Step 5: Solve for x
    x = 2,850,508,600.70/46,407.50
  6. Step 6: Final answer
    x = 61,423.45

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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.