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Finding the Fourth Proportional to 77,563.50, 116,345.25 and 22,159.50

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Solution

The fourth proportional to 77,563.50, 116,345.25 and 22,159.50 is: 33,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,563.50 : 116,345.25 = 22,159.50 : x
  2. Step 2: Convert to fraction form
    77,563.50/116,345.25 = 22,159.50/x
  3. Step 3: Cross multiply
    77,563.50x = 116,345.25 × 22,159.50
  4. Step 4: Simplify right side
    77,563.50x = 2,578,152,567.38
  5. Step 5: Solve for x
    x = 2,578,152,567.38/77,563.50
  6. Step 6: Final answer
    x = 33,239.25

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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.