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Finding the Fourth Proportional to 47,115.84, 65,020 and 25,897.28

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Solution

The fourth proportional to 47,115.84, 65,020 and 25,897.28 is: 35,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,115.84 : 65,020 = 25,897.28 : x
  2. Step 2: Convert to fraction form
    47,115.84/65,020 = 25,897.28/x
  3. Step 3: Cross multiply
    47,115.84x = 65,020 × 25,897.28
  4. Step 4: Simplify right side
    47,115.84x = 1,683,841,145.60
  5. Step 5: Solve for x
    x = 1,683,841,145.60/47,115.84
  6. Step 6: Final answer
    x = 35,738.32

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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.