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Finding the Fourth Proportional to 52,459.65, 78,688.06 and 13,016.30

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Solution

The fourth proportional to 52,459.65, 78,688.06 and 13,016.30 is: 19,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,459.65 : 78,688.06 = 13,016.30 : x
  2. Step 2: Convert to fraction form
    52,459.65/78,688.06 = 13,016.30/x
  3. Step 3: Cross multiply
    52,459.65x = 78,688.06 × 13,016.30
  4. Step 4: Simplify right side
    52,459.65x = 1,024,226,969.40
  5. Step 5: Solve for x
    x = 1,024,226,969.40/52,459.65
  6. Step 6: Final answer
    x = 19,524.09

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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.