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Finding the Fourth Proportional to 30,146.01, 45,225.51 and 10,157.50

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Solution

The fourth proportional to 30,146.01, 45,225.51 and 10,157.50 is: 15,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.01 : 45,225.51 = 10,157.50 : x
  2. Step 2: Convert to fraction form
    30,146.01/45,225.51 = 10,157.50/x
  3. Step 3: Cross multiply
    30,146.01x = 45,225.51 × 10,157.50
  4. Step 4: Simplify right side
    30,146.01x = 459,378,136.27
  5. Step 5: Solve for x
    x = 459,378,136.27/30,146.01
  6. Step 6: Final answer
    x = 15,238.44

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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.