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Finding the Fourth Proportional to 52,322.55, 78,436.35 and 19,019.10

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Solution

The fourth proportional to 52,322.55, 78,436.35 and 19,019.10 is: 28,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,322.55 : 78,436.35 = 19,019.10 : x
  2. Step 2: Convert to fraction form
    52,322.55/78,436.35 = 19,019.10/x
  3. Step 3: Cross multiply
    52,322.55x = 78,436.35 × 19,019.10
  4. Step 4: Simplify right side
    52,322.55x = 1,491,788,784.29
  5. Step 5: Solve for x
    x = 1,491,788,784.29/52,322.55
  6. Step 6: Final answer
    x = 28,511.39

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Why These Related Problems?

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