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Finding the Fourth Proportional to 34,503.40, 51,689.10 and 28,916.81

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Solution

The fourth proportional to 34,503.40, 51,689.10 and 28,916.81 is: 43,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,503.40 : 51,689.10 = 28,916.81 : x
  2. Step 2: Convert to fraction form
    34,503.40/51,689.10 = 28,916.81/x
  3. Step 3: Cross multiply
    34,503.40x = 51,689.10 × 28,916.81
  4. Step 4: Simplify right side
    34,503.40x = 1,494,683,927.60
  5. Step 5: Solve for x
    x = 1,494,683,927.60/34,503.40
  6. Step 6: Final answer
    x = 43,319.90

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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.