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Finding the Fourth Proportional to 53,981, 74,503.86 and 31,625

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Solution

The fourth proportional to 53,981, 74,503.86 and 31,625 is: 43,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,981 : 74,503.86 = 31,625 : x
  2. Step 2: Convert to fraction form
    53,981/74,503.86 = 31,625/x
  3. Step 3: Cross multiply
    53,981x = 74,503.86 × 31,625
  4. Step 4: Simplify right side
    53,981x = 2,356,184,572.50
  5. Step 5: Solve for x
    x = 2,356,184,572.50/53,981
  6. Step 6: Final answer
    x = 43,648.41

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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.