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Finding the Fourth Proportional to 52,238.16, 78,370.20 and 15,302.16

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Solution

The fourth proportional to 52,238.16, 78,370.20 and 15,302.16 is: 22,957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,238.16 : 78,370.20 = 15,302.16 : x
  2. Step 2: Convert to fraction form
    52,238.16/78,370.20 = 15,302.16/x
  3. Step 3: Cross multiply
    52,238.16x = 78,370.20 × 15,302.16
  4. Step 4: Simplify right side
    52,238.16x = 1,199,233,339.63
  5. Step 5: Solve for x
    x = 1,199,233,339.63/52,238.16
  6. Step 6: Final answer
    x = 22,957.04

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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.