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Finding the Fourth Proportional to 102,454.53, 153,681.80 and 27,574.85

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Solution

The fourth proportional to 102,454.53, 153,681.80 and 27,574.85 is: 41,362.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,454.53 : 153,681.80 = 27,574.85 : x
  2. Step 2: Convert to fraction form
    102,454.53/153,681.80 = 27,574.85/x
  3. Step 3: Cross multiply
    102,454.53x = 153,681.80 × 27,574.85
  4. Step 4: Simplify right side
    102,454.53x = 4,237,751,676.45
  5. Step 5: Solve for x
    x = 4,237,751,676.45/102,454.53
  6. Step 6: Final answer
    x = 41,362.27

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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.