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Finding the Fourth Proportional to 34,870.31, 52,302.50 and 13,804.63

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Solution

The fourth proportional to 34,870.31, 52,302.50 and 13,804.63 is: 20,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,870.31 : 52,302.50 = 13,804.63 : x
  2. Step 2: Convert to fraction form
    34,870.31/52,302.50 = 13,804.63/x
  3. Step 3: Cross multiply
    34,870.31x = 52,302.50 × 13,804.63
  4. Step 4: Simplify right side
    34,870.31x = 722,016,660.58
  5. Step 5: Solve for x
    x = 722,016,660.58/34,870.31
  6. Step 6: Final answer
    x = 20,705.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.