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Finding the Fourth Proportional to 45,280, 62,492.16 and 25,408

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Solution

The fourth proportional to 45,280, 62,492.16 and 25,408 is: 35,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,280 : 62,492.16 = 25,408 : x
  2. Step 2: Convert to fraction form
    45,280/62,492.16 = 25,408/x
  3. Step 3: Cross multiply
    45,280x = 62,492.16 × 25,408
  4. Step 4: Simplify right side
    45,280x = 1,587,800,801.28
  5. Step 5: Solve for x
    x = 1,587,800,801.28/45,280
  6. Step 6: Final answer
    x = 35,066.27

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Why These Related Problems?

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