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Finding the Fourth Proportional to 38,413.60, 53,009.52 and 23,509.60

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Solution

The fourth proportional to 38,413.60, 53,009.52 and 23,509.60 is: 32,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,413.60 : 53,009.52 = 23,509.60 : x
  2. Step 2: Convert to fraction form
    38,413.60/53,009.52 = 23,509.60/x
  3. Step 3: Cross multiply
    38,413.60x = 53,009.52 × 23,509.60
  4. Step 4: Simplify right side
    38,413.60x = 1,246,232,611.39
  5. Step 5: Solve for x
    x = 1,246,232,611.39/38,413.60
  6. Step 6: Final answer
    x = 32,442.48

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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.