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Finding the Fourth Proportional to 32,707.50, 49,061.73 and 9,333.95

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Solution

The fourth proportional to 32,707.50, 49,061.73 and 9,333.95 is: 14,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,707.50 : 49,061.73 = 9,333.95 : x
  2. Step 2: Convert to fraction form
    32,707.50/49,061.73 = 9,333.95/x
  3. Step 3: Cross multiply
    32,707.50x = 49,061.73 × 9,333.95
  4. Step 4: Simplify right side
    32,707.50x = 457,939,489.42
  5. Step 5: Solve for x
    x = 457,939,489.42/32,707.50
  6. Step 6: Final answer
    x = 14,001.05

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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.