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Finding the Fourth Proportional to 78,784.65, 118,158.95 and 22,624.31

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Solution

The fourth proportional to 78,784.65, 118,158.95 and 22,624.31 is: 33,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,784.65 : 118,158.95 = 22,624.31 : x
  2. Step 2: Convert to fraction form
    78,784.65/118,158.95 = 22,624.31/x
  3. Step 3: Cross multiply
    78,784.65x = 118,158.95 × 22,624.31
  4. Step 4: Simplify right side
    78,784.65x = 2,673,265,066.03
  5. Step 5: Solve for x
    x = 2,673,265,066.03/78,784.65
  6. Step 6: Final answer
    x = 33,931.29

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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.