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Finding the Fourth Proportional to 53,886.48, 74,363.32 and 31,238.63

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Solution

The fourth proportional to 53,886.48, 74,363.32 and 31,238.63 is: 43,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,886.48 : 74,363.32 = 31,238.63 : x
  2. Step 2: Convert to fraction form
    53,886.48/74,363.32 = 31,238.63/x
  3. Step 3: Cross multiply
    53,886.48x = 74,363.32 × 31,238.63
  4. Step 4: Simplify right side
    53,886.48x = 2,323,008,009.43
  5. Step 5: Solve for x
    x = 2,323,008,009.43/53,886.48
  6. Step 6: Final answer
    x = 43,109.29

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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.