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Finding the Fourth Proportional to 78,055.92, 107,745.12 and 46,225.08

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Solution

The fourth proportional to 78,055.92, 107,745.12 and 46,225.08 is: 63,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,055.92 : 107,745.12 = 46,225.08 : x
  2. Step 2: Convert to fraction form
    78,055.92/107,745.12 = 46,225.08/x
  3. Step 3: Cross multiply
    78,055.92x = 107,745.12 × 46,225.08
  4. Step 4: Simplify right side
    78,055.92x = 4,980,526,791.61
  5. Step 5: Solve for x
    x = 4,980,526,791.61/78,055.92
  6. Step 6: Final answer
    x = 63,807.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.