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Finding the Fourth Proportional to 76,623, 114,973.38 and 35,080.44

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Solution

The fourth proportional to 76,623, 114,973.38 and 35,080.44 is: 52,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,623 : 114,973.38 = 35,080.44 : x
  2. Step 2: Convert to fraction form
    76,623/114,973.38 = 35,080.44/x
  3. Step 3: Cross multiply
    76,623x = 114,973.38 × 35,080.44
  4. Step 4: Simplify right side
    76,623x = 4,033,316,758.69
  5. Step 5: Solve for x
    x = 4,033,316,758.69/76,623
  6. Step 6: Final answer
    x = 52,638.46

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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.