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Finding the Fourth Proportional to 56,452.32, 77,907.84 and 32,580

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Solution

The fourth proportional to 56,452.32, 77,907.84 and 32,580 is: 44,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,452.32 : 77,907.84 = 32,580 : x
  2. Step 2: Convert to fraction form
    56,452.32/77,907.84 = 32,580/x
  3. Step 3: Cross multiply
    56,452.32x = 77,907.84 × 32,580
  4. Step 4: Simplify right side
    56,452.32x = 2,538,237,427.20
  5. Step 5: Solve for x
    x = 2,538,237,427.20/56,452.32
  6. Step 6: Final answer
    x = 44,962.50

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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.