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Finding the Fourth Proportional to 124,064.88, 186,097.42 and 30,570.64

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Solution

The fourth proportional to 124,064.88, 186,097.42 and 30,570.64 is: 45,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,064.88 : 186,097.42 = 30,570.64 : x
  2. Step 2: Convert to fraction form
    124,064.88/186,097.42 = 30,570.64/x
  3. Step 3: Cross multiply
    124,064.88x = 186,097.42 × 30,570.64
  4. Step 4: Simplify right side
    124,064.88x = 5,689,117,231.75
  5. Step 5: Solve for x
    x = 5,689,117,231.75/124,064.88
  6. Step 6: Final answer
    x = 45,855.98

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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.