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Finding the Fourth Proportional to 51,762.78, 77,645.69 and 14,323.16

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Solution

The fourth proportional to 51,762.78, 77,645.69 and 14,323.16 is: 21,485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,762.78 : 77,645.69 = 14,323.16 : x
  2. Step 2: Convert to fraction form
    51,762.78/77,645.69 = 14,323.16/x
  3. Step 3: Cross multiply
    51,762.78x = 77,645.69 × 14,323.16
  4. Step 4: Simplify right side
    51,762.78x = 1,112,131,181.34
  5. Step 5: Solve for x
    x = 1,112,131,181.34/51,762.78
  6. Step 6: Final answer
    x = 21,485.15

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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.