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Finding the Fourth Proportional to 35,952.69, 53,929.02 and 9,657.43

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Solution

The fourth proportional to 35,952.69, 53,929.02 and 9,657.43 is: 14,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,952.69 : 53,929.02 = 9,657.43 : x
  2. Step 2: Convert to fraction form
    35,952.69/53,929.02 = 9,657.43/x
  3. Step 3: Cross multiply
    35,952.69x = 53,929.02 × 9,657.43
  4. Step 4: Simplify right side
    35,952.69x = 520,815,637.01
  5. Step 5: Solve for x
    x = 520,815,637.01/35,952.69
  6. Step 6: Final answer
    x = 14,486.14

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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.