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Finding the Fourth Proportional to 99,713.53, 149,486.40 and 46,378.41

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Solution

The fourth proportional to 99,713.53, 149,486.40 and 46,378.41 is: 69,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,713.53 : 149,486.40 = 46,378.41 : x
  2. Step 2: Convert to fraction form
    99,713.53/149,486.40 = 46,378.41/x
  3. Step 3: Cross multiply
    99,713.53x = 149,486.40 × 46,378.41
  4. Step 4: Simplify right side
    99,713.53x = 6,932,941,846.96
  5. Step 5: Solve for x
    x = 6,932,941,846.96/99,713.53
  6. Step 6: Final answer
    x = 69,528.60

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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.