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Finding the Fourth Proportional to 78,030.40, 117,029.40 and 33,658.60

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Solution

The fourth proportional to 78,030.40, 117,029.40 and 33,658.60 is: 50,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,030.40 : 117,029.40 = 33,658.60 : x
  2. Step 2: Convert to fraction form
    78,030.40/117,029.40 = 33,658.60/x
  3. Step 3: Cross multiply
    78,030.40x = 117,029.40 × 33,658.60
  4. Step 4: Simplify right side
    78,030.40x = 3,939,045,762.84
  5. Step 5: Solve for x
    x = 3,939,045,762.84/78,030.40
  6. Step 6: Final answer
    x = 50,480.91

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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.