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Finding the Fourth Proportional to 51,880.50, 77,830.47 and 24,178.50

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Solution

The fourth proportional to 51,880.50, 77,830.47 and 24,178.50 is: 36,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,880.50 : 77,830.47 = 24,178.50 : x
  2. Step 2: Convert to fraction form
    51,880.50/77,830.47 = 24,178.50/x
  3. Step 3: Cross multiply
    51,880.50x = 77,830.47 × 24,178.50
  4. Step 4: Simplify right side
    51,880.50x = 1,881,824,018.90
  5. Step 5: Solve for x
    x = 1,881,824,018.90/51,880.50
  6. Step 6: Final answer
    x = 36,272.28

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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.