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Finding the Fourth Proportional to 53,256.16, 73,493.04 and 29,383

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Solution

The fourth proportional to 53,256.16, 73,493.04 and 29,383 is: 40,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,256.16 : 73,493.04 = 29,383 : x
  2. Step 2: Convert to fraction form
    53,256.16/73,493.04 = 29,383/x
  3. Step 3: Cross multiply
    53,256.16x = 73,493.04 × 29,383
  4. Step 4: Simplify right side
    53,256.16x = 2,159,445,994.32
  5. Step 5: Solve for x
    x = 2,159,445,994.32/53,256.16
  6. Step 6: Final answer
    x = 40,548.29

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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.