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Finding the Fourth Proportional to 32,703.74, 49,062.73 and 12,981.86

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Solution

The fourth proportional to 32,703.74, 49,062.73 and 12,981.86 is: 19,475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,703.74 : 49,062.73 = 12,981.86 : x
  2. Step 2: Convert to fraction form
    32,703.74/49,062.73 = 12,981.86/x
  3. Step 3: Cross multiply
    32,703.74x = 49,062.73 × 12,981.86
  4. Step 4: Simplify right side
    32,703.74x = 636,925,492.08
  5. Step 5: Solve for x
    x = 636,925,492.08/32,703.74
  6. Step 6: Final answer
    x = 19,475.62

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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.