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Finding the Fourth Proportional to 68,157.84, 94,094.74 and 47,802.42

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Solution

The fourth proportional to 68,157.84, 94,094.74 and 47,802.42 is: 65,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,157.84 : 94,094.74 = 47,802.42 : x
  2. Step 2: Convert to fraction form
    68,157.84/94,094.74 = 47,802.42/x
  3. Step 3: Cross multiply
    68,157.84x = 94,094.74 × 47,802.42
  4. Step 4: Simplify right side
    68,157.84x = 4,497,956,281.27
  5. Step 5: Solve for x
    x = 4,497,956,281.27/68,157.84
  6. Step 6: Final answer
    x = 65,993.23

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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.