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Finding the Fourth Proportional to 123,537.72, 185,341.14 and 48,611.64

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Solution

The fourth proportional to 123,537.72, 185,341.14 and 48,611.64 is: 72,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,537.72 : 185,341.14 = 48,611.64 : x
  2. Step 2: Convert to fraction form
    123,537.72/185,341.14 = 48,611.64/x
  3. Step 3: Cross multiply
    123,537.72x = 185,341.14 × 48,611.64
  4. Step 4: Simplify right side
    123,537.72x = 9,009,736,774.87
  5. Step 5: Solve for x
    x = 9,009,736,774.87/123,537.72
  6. Step 6: Final answer
    x = 72,931.06

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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.