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Finding the Fourth Proportional to 43,301, 64,951.56 and 10,469

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Solution

The fourth proportional to 43,301, 64,951.56 and 10,469 is: 15,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,301 : 64,951.56 = 10,469 : x
  2. Step 2: Convert to fraction form
    43,301/64,951.56 = 10,469/x
  3. Step 3: Cross multiply
    43,301x = 64,951.56 × 10,469
  4. Step 4: Simplify right side
    43,301x = 679,977,881.64
  5. Step 5: Solve for x
    x = 679,977,881.64/43,301
  6. Step 6: Final answer
    x = 15,703.51

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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.