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Finding the Fourth Proportional to 56,011.74, 84,011.13 and 14,461.98

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Solution

The fourth proportional to 56,011.74, 84,011.13 and 14,461.98 is: 21,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,011.74 : 84,011.13 = 14,461.98 : x
  2. Step 2: Convert to fraction form
    56,011.74/84,011.13 = 14,461.98/x
  3. Step 3: Cross multiply
    56,011.74x = 84,011.13 × 14,461.98
  4. Step 4: Simplify right side
    56,011.74x = 1,214,967,281.84
  5. Step 5: Solve for x
    x = 1,214,967,281.84/56,011.74
  6. Step 6: Final answer
    x = 21,691.30

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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.