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Finding the Fourth Proportional to 35,752.32, 53,631.05 and 9,456.75

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Solution

The fourth proportional to 35,752.32, 53,631.05 and 9,456.75 is: 14,185.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,752.32 : 53,631.05 = 9,456.75 : x
  2. Step 2: Convert to fraction form
    35,752.32/53,631.05 = 9,456.75/x
  3. Step 3: Cross multiply
    35,752.32x = 53,631.05 × 9,456.75
  4. Step 4: Simplify right side
    35,752.32x = 507,175,384.80
  5. Step 5: Solve for x
    x = 507,175,384.80/35,752.32
  6. Step 6: Final answer
    x = 14,185.80

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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.