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Finding the Fourth Proportional to 56,424.64, 77,830.72 and 36,307.72

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Solution

The fourth proportional to 56,424.64, 77,830.72 and 36,307.72 is: 50,081.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,424.64 : 77,830.72 = 36,307.72 : x
  2. Step 2: Convert to fraction form
    56,424.64/77,830.72 = 36,307.72/x
  3. Step 3: Cross multiply
    56,424.64x = 77,830.72 × 36,307.72
  4. Step 4: Simplify right side
    56,424.64x = 2,825,855,989.16
  5. Step 5: Solve for x
    x = 2,825,855,989.16/56,424.64
  6. Step 6: Final answer
    x = 50,081.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.