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Finding the Fourth Proportional to 102,564.72, 153,883.44 and 46,416.96

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Solution

The fourth proportional to 102,564.72, 153,883.44 and 46,416.96 is: 69,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564.72 : 153,883.44 = 46,416.96 : x
  2. Step 2: Convert to fraction form
    102,564.72/153,883.44 = 46,416.96/x
  3. Step 3: Cross multiply
    102,564.72x = 153,883.44 × 46,416.96
  4. Step 4: Simplify right side
    102,564.72x = 7,142,801,479.14
  5. Step 5: Solve for x
    x = 7,142,801,479.14/102,564.72
  6. Step 6: Final answer
    x = 69,641.90

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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.