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Finding the Fourth Proportional to 56,258, 77,645.76 and 33,902

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Solution

The fourth proportional to 56,258, 77,645.76 and 33,902 is: 46,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,258 : 77,645.76 = 33,902 : x
  2. Step 2: Convert to fraction form
    56,258/77,645.76 = 33,902/x
  3. Step 3: Cross multiply
    56,258x = 77,645.76 × 33,902
  4. Step 4: Simplify right side
    56,258x = 2,632,346,555.52
  5. Step 5: Solve for x
    x = 2,632,346,555.52/56,258
  6. Step 6: Final answer
    x = 46,790.62

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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.