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Finding the Fourth Proportional to 35,672.40, 53,508.57 and 12,297

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Solution

The fourth proportional to 35,672.40, 53,508.57 and 12,297 is: 18,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,672.40 : 53,508.57 = 12,297 : x
  2. Step 2: Convert to fraction form
    35,672.40/53,508.57 = 12,297/x
  3. Step 3: Cross multiply
    35,672.40x = 53,508.57 × 12,297
  4. Step 4: Simplify right side
    35,672.40x = 657,994,885.29
  5. Step 5: Solve for x
    x = 657,994,885.29/35,672.40
  6. Step 6: Final answer
    x = 18,445.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.