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Finding the Fourth Proportional to 77,623, 116,448.54 and 51,349.48

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Solution

The fourth proportional to 77,623, 116,448.54 and 51,349.48 is: 77,033.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,623 : 116,448.54 = 51,349.48 : x
  2. Step 2: Convert to fraction form
    77,623/116,448.54 = 51,349.48/x
  3. Step 3: Cross multiply
    77,623x = 116,448.54 × 51,349.48
  4. Step 4: Simplify right side
    77,623x = 5,979,571,975.76
  5. Step 5: Solve for x
    x = 5,979,571,975.76/77,623
  6. Step 6: Final answer
    x = 77,033.51

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1.5x scale

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.