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Finding the Fourth Proportional to 46,566.76, 69,850.14 and 15,402

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Solution

The fourth proportional to 46,566.76, 69,850.14 and 15,402 is: 23,103

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,566.76 : 69,850.14 = 15,402 : x
  2. Step 2: Convert to fraction form
    46,566.76/69,850.14 = 15,402/x
  3. Step 3: Cross multiply
    46,566.76x = 69,850.14 × 15,402
  4. Step 4: Simplify right side
    46,566.76x = 1,075,831,856.28
  5. Step 5: Solve for x
    x = 1,075,831,856.28/46,566.76
  6. Step 6: Final answer
    x = 23,103

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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.