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Finding the Fourth Proportional to 52,583.46, 78,885.60 and 19,303.82

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Solution

The fourth proportional to 52,583.46, 78,885.60 and 19,303.82 is: 28,959.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,583.46 : 78,885.60 = 19,303.82 : x
  2. Step 2: Convert to fraction form
    52,583.46/78,885.60 = 19,303.82/x
  3. Step 3: Cross multiply
    52,583.46x = 78,885.60 × 19,303.82
  4. Step 4: Simplify right side
    52,583.46x = 1,522,793,422.99
  5. Step 5: Solve for x
    x = 1,522,793,422.99/52,583.46
  6. Step 6: Final answer
    x = 28,959.55

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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.