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Finding the Fourth Proportional to 37,712.96, 52,058.40 and 25,133.12

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Solution

The fourth proportional to 37,712.96, 52,058.40 and 25,133.12 is: 34,693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,712.96 : 52,058.40 = 25,133.12 : x
  2. Step 2: Convert to fraction form
    37,712.96/52,058.40 = 25,133.12/x
  3. Step 3: Cross multiply
    37,712.96x = 52,058.40 × 25,133.12
  4. Step 4: Simplify right side
    37,712.96x = 1,308,390,014.21
  5. Step 5: Solve for x
    x = 1,308,390,014.21/37,712.96
  6. Step 6: Final answer
    x = 34,693.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.