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Finding the Fourth Proportional to 53,577.10, 73,851.01 and 42,229

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Solution

The fourth proportional to 53,577.10, 73,851.01 and 42,229 is: 58,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,577.10 : 73,851.01 = 42,229 : x
  2. Step 2: Convert to fraction form
    53,577.10/73,851.01 = 42,229/x
  3. Step 3: Cross multiply
    53,577.10x = 73,851.01 × 42,229
  4. Step 4: Simplify right side
    53,577.10x = 3,118,654,301.29
  5. Step 5: Solve for x
    x = 3,118,654,301.29/53,577.10
  6. Step 6: Final answer
    x = 58,208.72

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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.