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Finding the Fourth Proportional to 52,123.04, 78,000 and 32,410.88

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Solution

The fourth proportional to 52,123.04, 78,000 and 32,410.88 is: 48,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,123.04 : 78,000 = 32,410.88 : x
  2. Step 2: Convert to fraction form
    52,123.04/78,000 = 32,410.88/x
  3. Step 3: Cross multiply
    52,123.04x = 78,000 × 32,410.88
  4. Step 4: Simplify right side
    52,123.04x = 2,528,048,640
  5. Step 5: Solve for x
    x = 2,528,048,640/52,123.04
  6. Step 6: Final answer
    x = 48,501.56

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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.