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Finding the Fourth Proportional to 51,693.12, 77,477.12 and 23,574.68

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Solution

The fourth proportional to 51,693.12, 77,477.12 and 23,574.68 is: 35,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,693.12 : 77,477.12 = 23,574.68 : x
  2. Step 2: Convert to fraction form
    51,693.12/77,477.12 = 23,574.68/x
  3. Step 3: Cross multiply
    51,693.12x = 77,477.12 × 23,574.68
  4. Step 4: Simplify right side
    51,693.12x = 1,826,498,311.32
  5. Step 5: Solve for x
    x = 1,826,498,311.32/51,693.12
  6. Step 6: Final answer
    x = 35,333.49

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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.