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Finding the Fourth Proportional to 77,533.71, 116,206.70 and 35,356.04

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Solution

The fourth proportional to 77,533.71, 116,206.70 and 35,356.04 is: 52,991.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,533.71 : 116,206.70 = 35,356.04 : x
  2. Step 2: Convert to fraction form
    77,533.71/116,206.70 = 35,356.04/x
  3. Step 3: Cross multiply
    77,533.71x = 116,206.70 × 35,356.04
  4. Step 4: Simplify right side
    77,533.71x = 4,108,609,263.97
  5. Step 5: Solve for x
    x = 4,108,609,263.97/77,533.71
  6. Step 6: Final answer
    x = 52,991.27

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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.