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Finding the Fourth Proportional to 46,492.20, 64,158.48 and 25,272

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Solution

The fourth proportional to 46,492.20, 64,158.48 and 25,272 is: 34,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,492.20 : 64,158.48 = 25,272 : x
  2. Step 2: Convert to fraction form
    46,492.20/64,158.48 = 25,272/x
  3. Step 3: Cross multiply
    46,492.20x = 64,158.48 × 25,272
  4. Step 4: Simplify right side
    46,492.20x = 1,621,413,106.56
  5. Step 5: Solve for x
    x = 1,621,413,106.56/46,492.20
  6. Step 6: Final answer
    x = 34,874.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.