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Finding the Fourth Proportional to 78,509.39, 117,615.74 and 46,392.66

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Solution

The fourth proportional to 78,509.39, 117,615.74 and 46,392.66 is: 69,501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,509.39 : 117,615.74 = 46,392.66 : x
  2. Step 2: Convert to fraction form
    78,509.39/117,615.74 = 46,392.66/x
  3. Step 3: Cross multiply
    78,509.39x = 117,615.74 × 46,392.66
  4. Step 4: Simplify right side
    78,509.39x = 5,456,507,036.47
  5. Step 5: Solve for x
    x = 5,456,507,036.47/78,509.39
  6. Step 6: Final answer
    x = 69,501.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.