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Finding the Fourth Proportional to 105,672.50, 158,533.05 and 34,597.43

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Solution

The fourth proportional to 105,672.50, 158,533.05 and 34,597.43 is: 51,904.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,672.50 : 158,533.05 = 34,597.43 : x
  2. Step 2: Convert to fraction form
    105,672.50/158,533.05 = 34,597.43/x
  3. Step 3: Cross multiply
    105,672.50x = 158,533.05 × 34,597.43
  4. Step 4: Simplify right side
    105,672.50x = 5,484,835,307.40
  5. Step 5: Solve for x
    x = 5,484,835,307.40/105,672.50
  6. Step 6: Final answer
    x = 51,904.10

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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.