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Finding the Fourth Proportional to 55,802.20, 83,703.30 and 55,413.40

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Solution

The fourth proportional to 55,802.20, 83,703.30 and 55,413.40 is: 83,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,802.20 : 83,703.30 = 55,413.40 : x
  2. Step 2: Convert to fraction form
    55,802.20/83,703.30 = 55,413.40/x
  3. Step 3: Cross multiply
    55,802.20x = 83,703.30 × 55,413.40
  4. Step 4: Simplify right side
    55,802.20x = 4,638,284,444.22
  5. Step 5: Solve for x
    x = 4,638,284,444.22/55,802.20
  6. Step 6: Final answer
    x = 83,120.10

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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.