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Finding the Fourth Proportional to 56,646.80, 84,969.90 and 14,526.80

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Solution

The fourth proportional to 56,646.80, 84,969.90 and 14,526.80 is: 21,790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,646.80 : 84,969.90 = 14,526.80 : x
  2. Step 2: Convert to fraction form
    56,646.80/84,969.90 = 14,526.80/x
  3. Step 3: Cross multiply
    56,646.80x = 84,969.90 × 14,526.80
  4. Step 4: Simplify right side
    56,646.80x = 1,234,340,743.32
  5. Step 5: Solve for x
    x = 1,234,340,743.32/56,646.80
  6. Step 6: Final answer
    x = 21,790.12

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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.