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Finding the Fourth Proportional to 35,657.76, 53,484.40 and 9,361.92

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Solution

The fourth proportional to 35,657.76, 53,484.40 and 9,361.92 is: 14,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,657.76 : 53,484.40 = 9,361.92 : x
  2. Step 2: Convert to fraction form
    35,657.76/53,484.40 = 9,361.92/x
  3. Step 3: Cross multiply
    35,657.76x = 53,484.40 × 9,361.92
  4. Step 4: Simplify right side
    35,657.76x = 500,716,674.05
  5. Step 5: Solve for x
    x = 500,716,674.05/35,657.76
  6. Step 6: Final answer
    x = 14,042.29

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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.