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Finding the Fourth Proportional to 34,248.16, 51,345.80 and 21,742.16

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Solution

The fourth proportional to 34,248.16, 51,345.80 and 21,742.16 is: 32,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,248.16 : 51,345.80 = 21,742.16 : x
  2. Step 2: Convert to fraction form
    34,248.16/51,345.80 = 21,742.16/x
  3. Step 3: Cross multiply
    34,248.16x = 51,345.80 × 21,742.16
  4. Step 4: Simplify right side
    34,248.16x = 1,116,368,490.22
  5. Step 5: Solve for x
    x = 1,116,368,490.22/34,248.16
  6. Step 6: Final answer
    x = 32,596.46

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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.