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Finding the Fourth Proportional to 56,978.16, 85,478.58 and 17,533.77

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Solution

The fourth proportional to 56,978.16, 85,478.58 and 17,533.77 is: 26,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,978.16 : 85,478.58 = 17,533.77 : x
  2. Step 2: Convert to fraction form
    56,978.16/85,478.58 = 17,533.77/x
  3. Step 3: Cross multiply
    56,978.16x = 85,478.58 × 17,533.77
  4. Step 4: Simplify right side
    56,978.16x = 1,498,761,761.65
  5. Step 5: Solve for x
    x = 1,498,761,761.65/56,978.16
  6. Step 6: Final answer
    x = 26,304.14

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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.