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Finding the Fourth Proportional to 34,564.68, 51,803.89 and 14,820.32

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Solution

The fourth proportional to 34,564.68, 51,803.89 and 14,820.32 is: 22,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,564.68 : 51,803.89 = 14,820.32 : x
  2. Step 2: Convert to fraction form
    34,564.68/51,803.89 = 14,820.32/x
  3. Step 3: Cross multiply
    34,564.68x = 51,803.89 × 14,820.32
  4. Step 4: Simplify right side
    34,564.68x = 767,750,319.50
  5. Step 5: Solve for x
    x = 767,750,319.50/34,564.68
  6. Step 6: Final answer
    x = 22,211.99

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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.