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Finding the Fourth Proportional to 56,409.52, 77,855.16 and 32,537.20

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Solution

The fourth proportional to 56,409.52, 77,855.16 and 32,537.20 is: 44,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,409.52 : 77,855.16 = 32,537.20 : x
  2. Step 2: Convert to fraction form
    56,409.52/77,855.16 = 32,537.20/x
  3. Step 3: Cross multiply
    56,409.52x = 77,855.16 × 32,537.20
  4. Step 4: Simplify right side
    56,409.52x = 2,533,188,911.95
  5. Step 5: Solve for x
    x = 2,533,188,911.95/56,409.52
  6. Step 6: Final answer
    x = 44,907.12

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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.