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Finding the Fourth Proportional to 56,458.40, 77,916 and 32,266.96

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Solution

The fourth proportional to 56,458.40, 77,916 and 32,266.96 is: 44,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,458.40 : 77,916 = 32,266.96 : x
  2. Step 2: Convert to fraction form
    56,458.40/77,916 = 32,266.96/x
  3. Step 3: Cross multiply
    56,458.40x = 77,916 × 32,266.96
  4. Step 4: Simplify right side
    56,458.40x = 2,514,112,455.36
  5. Step 5: Solve for x
    x = 2,514,112,455.36/56,458.40
  6. Step 6: Final answer
    x = 44,530.35

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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.