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Finding the Fourth Proportional to 48,096.91, 72,152.55 and 14,814.19

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Solution

The fourth proportional to 48,096.91, 72,152.55 and 14,814.19 is: 22,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,096.91 : 72,152.55 = 14,814.19 : x
  2. Step 2: Convert to fraction form
    48,096.91/72,152.55 = 14,814.19/x
  3. Step 3: Cross multiply
    48,096.91x = 72,152.55 × 14,814.19
  4. Step 4: Simplify right side
    48,096.91x = 1,068,881,633.21
  5. Step 5: Solve for x
    x = 1,068,881,633.21/48,096.91
  6. Step 6: Final answer
    x = 22,223.50

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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.