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Finding the Fourth Proportional to 53,637.99, 74,016.32 and 30,966.63

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Solution

The fourth proportional to 53,637.99, 74,016.32 and 30,966.63 is: 42,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,637.99 : 74,016.32 = 30,966.63 : x
  2. Step 2: Convert to fraction form
    53,637.99/74,016.32 = 30,966.63/x
  3. Step 3: Cross multiply
    53,637.99x = 74,016.32 × 30,966.63
  4. Step 4: Simplify right side
    53,637.99x = 2,292,035,995.40
  5. Step 5: Solve for x
    x = 2,292,035,995.40/53,637.99
  6. Step 6: Final answer
    x = 42,731.58

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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.