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Finding the Fourth Proportional to 64,175.76, 88,570.80 and 35,883

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Solution

The fourth proportional to 64,175.76, 88,570.80 and 35,883 is: 49,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,175.76 : 88,570.80 = 35,883 : x
  2. Step 2: Convert to fraction form
    64,175.76/88,570.80 = 35,883/x
  3. Step 3: Cross multiply
    64,175.76x = 88,570.80 × 35,883
  4. Step 4: Simplify right side
    64,175.76x = 3,178,186,016.40
  5. Step 5: Solve for x
    x = 3,178,186,016.40/64,175.76
  6. Step 6: Final answer
    x = 49,523.15

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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.