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Finding the Fourth Proportional to 75,289.50, 112,953.69 and 21,980.16

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Solution

The fourth proportional to 75,289.50, 112,953.69 and 21,980.16 is: 32,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,289.50 : 112,953.69 = 21,980.16 : x
  2. Step 2: Convert to fraction form
    75,289.50/112,953.69 = 21,980.16/x
  3. Step 3: Cross multiply
    75,289.50x = 112,953.69 × 21,980.16
  4. Step 4: Simplify right side
    75,289.50x = 2,482,740,178.79
  5. Step 5: Solve for x
    x = 2,482,740,178.79/75,289.50
  6. Step 6: Final answer
    x = 32,975.92

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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.