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Finding the Fourth Proportional to 56,258, 77,629.32 and 31,104.08

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Solution

The fourth proportional to 56,258, 77,629.32 and 31,104.08 is: 42,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,258 : 77,629.32 = 31,104.08 : x
  2. Step 2: Convert to fraction form
    56,258/77,629.32 = 31,104.08/x
  3. Step 3: Cross multiply
    56,258x = 77,629.32 × 31,104.08
  4. Step 4: Simplify right side
    56,258x = 2,414,588,579.63
  5. Step 5: Solve for x
    x = 2,414,588,579.63/56,258
  6. Step 6: Final answer
    x = 42,919.92

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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.