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Finding the Fourth Proportional to 52,567.84, 78,773.46 and 51,263.74

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Solution

The fourth proportional to 52,567.84, 78,773.46 and 51,263.74 is: 76,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,567.84 : 78,773.46 = 51,263.74 : x
  2. Step 2: Convert to fraction form
    52,567.84/78,773.46 = 51,263.74/x
  3. Step 3: Cross multiply
    52,567.84x = 78,773.46 × 51,263.74
  4. Step 4: Simplify right side
    52,567.84x = 4,038,222,172.34
  5. Step 5: Solve for x
    x = 4,038,222,172.34/52,567.84
  6. Step 6: Final answer
    x = 76,819.25

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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.