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Finding the Fourth Proportional to 102,529.36, 153,818.88 and 49,926.88

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Solution

The fourth proportional to 102,529.36, 153,818.88 and 49,926.88 is: 74,902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,529.36 : 153,818.88 = 49,926.88 : x
  2. Step 2: Convert to fraction form
    102,529.36/153,818.88 = 49,926.88/x
  3. Step 3: Cross multiply
    102,529.36x = 153,818.88 × 49,926.88
  4. Step 4: Simplify right side
    102,529.36x = 7,679,696,763.49
  5. Step 5: Solve for x
    x = 7,679,696,763.49/102,529.36
  6. Step 6: Final answer
    x = 74,902.42

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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.