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Finding the Fourth Proportional to 52,598.64, 78,889.20 and 15,654

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Solution

The fourth proportional to 52,598.64, 78,889.20 and 15,654 is: 23,478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,598.64 : 78,889.20 = 15,654 : x
  2. Step 2: Convert to fraction form
    52,598.64/78,889.20 = 15,654/x
  3. Step 3: Cross multiply
    52,598.64x = 78,889.20 × 15,654
  4. Step 4: Simplify right side
    52,598.64x = 1,234,931,536.80
  5. Step 5: Solve for x
    x = 1,234,931,536.80/52,598.64
  6. Step 6: Final answer
    x = 23,478.39

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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.