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Finding the Fourth Proportional to 34,577.76, 47,733.12 and 22,019.52

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Solution

The fourth proportional to 34,577.76, 47,733.12 and 22,019.52 is: 30,397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,577.76 : 47,733.12 = 22,019.52 : x
  2. Step 2: Convert to fraction form
    34,577.76/47,733.12 = 22,019.52/x
  3. Step 3: Cross multiply
    34,577.76x = 47,733.12 × 22,019.52
  4. Step 4: Simplify right side
    34,577.76x = 1,051,060,390.50
  5. Step 5: Solve for x
    x = 1,051,060,390.50/34,577.76
  6. Step 6: Final answer
    x = 30,397.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.