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Finding the Fourth Proportional to 56,196.40, 84,294.60 and 14,643.40

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Solution

The fourth proportional to 56,196.40, 84,294.60 and 14,643.40 is: 21,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,196.40 : 84,294.60 = 14,643.40 : x
  2. Step 2: Convert to fraction form
    56,196.40/84,294.60 = 14,643.40/x
  3. Step 3: Cross multiply
    56,196.40x = 84,294.60 × 14,643.40
  4. Step 4: Simplify right side
    56,196.40x = 1,234,359,545.64
  5. Step 5: Solve for x
    x = 1,234,359,545.64/56,196.40
  6. Step 6: Final answer
    x = 21,965.10

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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.