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Finding the Fourth Proportional to 34,428.42, 51,644.55 and 9,802.50

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Solution

The fourth proportional to 34,428.42, 51,644.55 and 9,802.50 is: 14,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,428.42 : 51,644.55 = 9,802.50 : x
  2. Step 2: Convert to fraction form
    34,428.42/51,644.55 = 9,802.50/x
  3. Step 3: Cross multiply
    34,428.42x = 51,644.55 × 9,802.50
  4. Step 4: Simplify right side
    34,428.42x = 506,245,701.38
  5. Step 5: Solve for x
    x = 506,245,701.38/34,428.42
  6. Step 6: Final answer
    x = 14,704.30

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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.