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Finding the Fourth Proportional to 35,439.84, 53,152.46 and 15,705.82

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Solution

The fourth proportional to 35,439.84, 53,152.46 and 15,705.82 is: 23,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,439.84 : 53,152.46 = 15,705.82 : x
  2. Step 2: Convert to fraction form
    35,439.84/53,152.46 = 15,705.82/x
  3. Step 3: Cross multiply
    35,439.84x = 53,152.46 × 15,705.82
  4. Step 4: Simplify right side
    35,439.84x = 834,802,969.32
  5. Step 5: Solve for x
    x = 834,802,969.32/35,439.84
  6. Step 6: Final answer
    x = 23,555.49

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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.