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Finding the Fourth Proportional to 56,143.26, 77,477.85 and 30,649.65

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Solution

The fourth proportional to 56,143.26, 77,477.85 and 30,649.65 is: 42,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,143.26 : 77,477.85 = 30,649.65 : x
  2. Step 2: Convert to fraction form
    56,143.26/77,477.85 = 30,649.65/x
  3. Step 3: Cross multiply
    56,143.26x = 77,477.85 × 30,649.65
  4. Step 4: Simplify right side
    56,143.26x = 2,374,668,597.86
  5. Step 5: Solve for x
    x = 2,374,668,597.86/56,143.26
  6. Step 6: Final answer
    x = 42,296.60

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