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Finding the Fourth Proportional to 52,208.30, 78,312.45 and 15,272.30

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Solution

The fourth proportional to 52,208.30, 78,312.45 and 15,272.30 is: 22,908.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,208.30 : 78,312.45 = 15,272.30 : x
  2. Step 2: Convert to fraction form
    52,208.30/78,312.45 = 15,272.30/x
  3. Step 3: Cross multiply
    52,208.30x = 78,312.45 × 15,272.30
  4. Step 4: Simplify right side
    52,208.30x = 1,196,011,230.14
  5. Step 5: Solve for x
    x = 1,196,011,230.14/52,208.30
  6. Step 6: Final answer
    x = 22,908.45

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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.