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Finding the Fourth Proportional to 78,291.20, 117,285.64 and 46,726.48

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Solution

The fourth proportional to 78,291.20, 117,285.64 and 46,726.48 is: 69,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,291.20 : 117,285.64 = 46,726.48 : x
  2. Step 2: Convert to fraction form
    78,291.20/117,285.64 = 46,726.48/x
  3. Step 3: Cross multiply
    78,291.20x = 117,285.64 × 46,726.48
  4. Step 4: Simplify right side
    78,291.20x = 5,480,345,111.75
  5. Step 5: Solve for x
    x = 5,480,345,111.75/78,291.20
  6. Step 6: Final answer
    x = 69,999.50

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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.