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Finding the Fourth Proportional to 56,697.56, 78,245.70 and 31,547.60

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Solution

The fourth proportional to 56,697.56, 78,245.70 and 31,547.60 is: 43,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,697.56 : 78,245.70 = 31,547.60 : x
  2. Step 2: Convert to fraction form
    56,697.56/78,245.70 = 31,547.60/x
  3. Step 3: Cross multiply
    56,697.56x = 78,245.70 × 31,547.60
  4. Step 4: Simplify right side
    56,697.56x = 2,468,464,045.32
  5. Step 5: Solve for x
    x = 2,468,464,045.32/56,697.56
  6. Step 6: Final answer
    x = 43,537.39

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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.