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Finding the Fourth Proportional to 38,903.76, 53,690.76 and 30,413.52

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Solution

The fourth proportional to 38,903.76, 53,690.76 and 30,413.52 is: 41,973.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,903.76 : 53,690.76 = 30,413.52 : x
  2. Step 2: Convert to fraction form
    38,903.76/53,690.76 = 30,413.52/x
  3. Step 3: Cross multiply
    38,903.76x = 53,690.76 × 30,413.52
  4. Step 4: Simplify right side
    38,903.76x = 1,632,925,003.08
  5. Step 5: Solve for x
    x = 1,632,925,003.08/38,903.76
  6. Step 6: Final answer
    x = 41,973.45

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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.