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Finding the Fourth Proportional to 40,776.40, 61,166 and 14,483.20

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Solution

The fourth proportional to 40,776.40, 61,166 and 14,483.20 is: 21,725.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,776.40 : 61,166 = 14,483.20 : x
  2. Step 2: Convert to fraction form
    40,776.40/61,166 = 14,483.20/x
  3. Step 3: Cross multiply
    40,776.40x = 61,166 × 14,483.20
  4. Step 4: Simplify right side
    40,776.40x = 885,879,411.20
  5. Step 5: Solve for x
    x = 885,879,411.20/40,776.40
  6. Step 6: Final answer
    x = 21,725.30

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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.