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Finding the Fourth Proportional to 56,491.62, 77,959.44 and 30,999.24

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Solution

The fourth proportional to 56,491.62, 77,959.44 and 30,999.24 is: 42,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,491.62 : 77,959.44 = 30,999.24 : x
  2. Step 2: Convert to fraction form
    56,491.62/77,959.44 = 30,999.24/x
  3. Step 3: Cross multiply
    56,491.62x = 77,959.44 × 30,999.24
  4. Step 4: Simplify right side
    56,491.62x = 2,416,683,390.83
  5. Step 5: Solve for x
    x = 2,416,683,390.83/56,491.62
  6. Step 6: Final answer
    x = 42,779.50

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1.5x scale

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.