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Finding the Fourth Proportional to 35,702.16, 49,265.44 and 19,786.20

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Solution

The fourth proportional to 35,702.16, 49,265.44 and 19,786.20 is: 27,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.16 : 49,265.44 = 19,786.20 : x
  2. Step 2: Convert to fraction form
    35,702.16/49,265.44 = 19,786.20/x
  3. Step 3: Cross multiply
    35,702.16x = 49,265.44 × 19,786.20
  4. Step 4: Simplify right side
    35,702.16x = 974,775,848.93
  5. Step 5: Solve for x
    x = 974,775,848.93/35,702.16
  6. Step 6: Final answer
    x = 27,302.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.