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Finding the Fourth Proportional to 53,637.84, 74,023.72 and 30,977.78

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Solution

The fourth proportional to 53,637.84, 74,023.72 and 30,977.78 is: 42,751.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,637.84 : 74,023.72 = 30,977.78 : x
  2. Step 2: Convert to fraction form
    53,637.84/74,023.72 = 30,977.78/x
  3. Step 3: Cross multiply
    53,637.84x = 74,023.72 × 30,977.78
  4. Step 4: Simplify right side
    53,637.84x = 2,293,090,512.94
  5. Step 5: Solve for x
    x = 2,293,090,512.94/53,637.84
  6. Step 6: Final answer
    x = 42,751.36

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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.