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Finding the Fourth Proportional to 78,004.88, 117,021.93 and 31,261.40

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Solution

The fourth proportional to 78,004.88, 117,021.93 and 31,261.40 is: 46,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,004.88 : 117,021.93 = 31,261.40 : x
  2. Step 2: Convert to fraction form
    78,004.88/117,021.93 = 31,261.40/x
  3. Step 3: Cross multiply
    78,004.88x = 117,021.93 × 31,261.40
  4. Step 4: Simplify right side
    78,004.88x = 3,658,269,362.50
  5. Step 5: Solve for x
    x = 3,658,269,362.50/78,004.88
  6. Step 6: Final answer
    x = 46,897.96

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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.