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Finding the Fourth Proportional to 32,828.46, 49,242.69 and 14,347.50

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Solution

The fourth proportional to 32,828.46, 49,242.69 and 14,347.50 is: 21,521.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,828.46 : 49,242.69 = 14,347.50 : x
  2. Step 2: Convert to fraction form
    32,828.46/49,242.69 = 14,347.50/x
  3. Step 3: Cross multiply
    32,828.46x = 49,242.69 × 14,347.50
  4. Step 4: Simplify right side
    32,828.46x = 706,509,494.78
  5. Step 5: Solve for x
    x = 706,509,494.78/32,828.46
  6. Step 6: Final answer
    x = 21,521.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.