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Finding the Fourth Proportional to 56,153.56, 77,497.62 and 32,281.24

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Solution

The fourth proportional to 56,153.56, 77,497.62 and 32,281.24 is: 44,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,153.56 : 77,497.62 = 32,281.24 : x
  2. Step 2: Convert to fraction form
    56,153.56/77,497.62 = 32,281.24/x
  3. Step 3: Cross multiply
    56,153.56x = 77,497.62 × 32,281.24
  4. Step 4: Simplify right side
    56,153.56x = 2,501,719,270.65
  5. Step 5: Solve for x
    x = 2,501,719,270.65/56,153.56
  6. Step 6: Final answer
    x = 44,551.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.