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Finding the Fourth Proportional to 94,642, 141,987 and 35,477.84

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Solution

The fourth proportional to 94,642, 141,987 and 35,477.84 is: 53,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,642 : 141,987 = 35,477.84 : x
  2. Step 2: Convert to fraction form
    94,642/141,987 = 35,477.84/x
  3. Step 3: Cross multiply
    94,642x = 141,987 × 35,477.84
  4. Step 4: Simplify right side
    94,642x = 5,037,392,068.08
  5. Step 5: Solve for x
    x = 5,037,392,068.08/94,642
  6. Step 6: Final answer
    x = 53,225.76

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Why These Related Problems?

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