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Finding the Fourth Proportional to 48,385.96, 72,578.84 and 31,742.01

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Solution

The fourth proportional to 48,385.96, 72,578.84 and 31,742.01 is: 47,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,385.96 : 72,578.84 = 31,742.01 : x
  2. Step 2: Convert to fraction form
    48,385.96/72,578.84 = 31,742.01/x
  3. Step 3: Cross multiply
    48,385.96x = 72,578.84 × 31,742.01
  4. Step 4: Simplify right side
    48,385.96x = 2,303,798,106.36
  5. Step 5: Solve for x
    x = 2,303,798,106.36/48,385.96
  6. Step 6: Final answer
    x = 47,612.95

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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.