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Finding the Fourth Proportional to 53,885.34, 74,364.06 and 30,012

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Solution

The fourth proportional to 53,885.34, 74,364.06 and 30,012 is: 41,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,885.34 : 74,364.06 = 30,012 : x
  2. Step 2: Convert to fraction form
    53,885.34/74,364.06 = 30,012/x
  3. Step 3: Cross multiply
    53,885.34x = 74,364.06 × 30,012
  4. Step 4: Simplify right side
    53,885.34x = 2,231,814,168.72
  5. Step 5: Solve for x
    x = 2,231,814,168.72/53,885.34
  6. Step 6: Final answer
    x = 41,417.84

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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.