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Finding the Fourth Proportional to 32,705.64, 49,065.75 and 9,332.28

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Solution

The fourth proportional to 32,705.64, 49,065.75 and 9,332.28 is: 14,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,705.64 : 49,065.75 = 9,332.28 : x
  2. Step 2: Convert to fraction form
    32,705.64/49,065.75 = 9,332.28/x
  3. Step 3: Cross multiply
    32,705.64x = 49,065.75 × 9,332.28
  4. Step 4: Simplify right side
    32,705.64x = 457,895,317.41
  5. Step 5: Solve for x
    x = 457,895,317.41/32,705.64
  6. Step 6: Final answer
    x = 14,000.50

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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.