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Finding the Fourth Proportional to 52,583.32, 78,913.86 and 19,324

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Solution

The fourth proportional to 52,583.32, 78,913.86 and 19,324 is: 29,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,583.32 : 78,913.86 = 19,324 : x
  2. Step 2: Convert to fraction form
    52,583.32/78,913.86 = 19,324/x
  3. Step 3: Cross multiply
    52,583.32x = 78,913.86 × 19,324
  4. Step 4: Simplify right side
    52,583.32x = 1,524,931,430.64
  5. Step 5: Solve for x
    x = 1,524,931,430.64/52,583.32
  6. Step 6: Final answer
    x = 29,000.29

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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.