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Finding the Fourth Proportional to 43,252, 64,878.06 and 10,420

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Solution

The fourth proportional to 43,252, 64,878.06 and 10,420 is: 15,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,252 : 64,878.06 = 10,420 : x
  2. Step 2: Convert to fraction form
    43,252/64,878.06 = 10,420/x
  3. Step 3: Cross multiply
    43,252x = 64,878.06 × 10,420
  4. Step 4: Simplify right side
    43,252x = 676,029,385.20
  5. Step 5: Solve for x
    x = 676,029,385.20/43,252
  6. Step 6: Final answer
    x = 15,630.01

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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.