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Finding the Fourth Proportional to 51,673.84, 77,508.72 and 14,737.84

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Solution

The fourth proportional to 51,673.84, 77,508.72 and 14,737.84 is: 22,106.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,673.84 : 77,508.72 = 14,737.84 : x
  2. Step 2: Convert to fraction form
    51,673.84/77,508.72 = 14,737.84/x
  3. Step 3: Cross multiply
    51,673.84x = 77,508.72 × 14,737.84
  4. Step 4: Simplify right side
    51,673.84x = 1,142,311,113.96
  5. Step 5: Solve for x
    x = 1,142,311,113.96/51,673.84
  6. Step 6: Final answer
    x = 22,106.18

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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.