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Finding the Fourth Proportional to 53,862.84, 74,343.06 and 34,967.16

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Solution

The fourth proportional to 53,862.84, 74,343.06 and 34,967.16 is: 48,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,862.84 : 74,343.06 = 34,967.16 : x
  2. Step 2: Convert to fraction form
    53,862.84/74,343.06 = 34,967.16/x
  3. Step 3: Cross multiply
    53,862.84x = 74,343.06 × 34,967.16
  4. Step 4: Simplify right side
    53,862.84x = 2,599,565,673.91
  5. Step 5: Solve for x
    x = 2,599,565,673.91/53,862.84
  6. Step 6: Final answer
    x = 48,262.69

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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.