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Finding the Fourth Proportional to 34,030.76, 46,971.84 and 20,599.88

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Solution

The fourth proportional to 34,030.76, 46,971.84 and 20,599.88 is: 28,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,030.76 : 46,971.84 = 20,599.88 : x
  2. Step 2: Convert to fraction form
    34,030.76/46,971.84 = 20,599.88/x
  3. Step 3: Cross multiply
    34,030.76x = 46,971.84 × 20,599.88
  4. Step 4: Simplify right side
    34,030.76x = 967,614,267.38
  5. Step 5: Solve for x
    x = 967,614,267.38/34,030.76
  6. Step 6: Final answer
    x = 28,433.52

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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.