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Finding the Fourth Proportional to 56,322.34, 84,408.78 and 46,980.66

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Solution

The fourth proportional to 56,322.34, 84,408.78 and 46,980.66 is: 70,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,322.34 : 84,408.78 = 46,980.66 : x
  2. Step 2: Convert to fraction form
    56,322.34/84,408.78 = 46,980.66/x
  3. Step 3: Cross multiply
    56,322.34x = 84,408.78 × 46,980.66
  4. Step 4: Simplify right side
    56,322.34x = 3,965,580,194.19
  5. Step 5: Solve for x
    x = 3,965,580,194.19/56,322.34
  6. Step 6: Final answer
    x = 70,408.65

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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.