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Finding the Fourth Proportional to 101,376, 152,064.60 and 27,504

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Solution

The fourth proportional to 101,376, 152,064.60 and 27,504 is: 41,256.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,376 : 152,064.60 = 27,504 : x
  2. Step 2: Convert to fraction form
    101,376/152,064.60 = 27,504/x
  3. Step 3: Cross multiply
    101,376x = 152,064.60 × 27,504
  4. Step 4: Simplify right side
    101,376x = 4,182,384,758.40
  5. Step 5: Solve for x
    x = 4,182,384,758.40/101,376
  6. Step 6: Final answer
    x = 41,256.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.