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Finding the Fourth Proportional to 100,734.56, 150,970.40 and 41,510.64

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Solution

The fourth proportional to 100,734.56, 150,970.40 and 41,510.64 is: 62,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,734.56 : 150,970.40 = 41,510.64 : x
  2. Step 2: Convert to fraction form
    100,734.56/150,970.40 = 41,510.64/x
  3. Step 3: Cross multiply
    100,734.56x = 150,970.40 × 41,510.64
  4. Step 4: Simplify right side
    100,734.56x = 6,266,877,925.06
  5. Step 5: Solve for x
    x = 6,266,877,925.06/100,734.56
  6. Step 6: Final answer
    x = 62,211.80

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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.