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Finding the Fourth Proportional to 34,030.84, 51,031.84 and 12,967.60

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Solution

The fourth proportional to 34,030.84, 51,031.84 and 12,967.60 is: 19,445.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,030.84 : 51,031.84 = 12,967.60 : x
  2. Step 2: Convert to fraction form
    34,030.84/51,031.84 = 12,967.60/x
  3. Step 3: Cross multiply
    34,030.84x = 51,031.84 × 12,967.60
  4. Step 4: Simplify right side
    34,030.84x = 661,760,488.38
  5. Step 5: Solve for x
    x = 661,760,488.38/34,030.84
  6. Step 6: Final answer
    x = 19,445.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.