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Finding the Fourth Proportional to 46,709.28, 70,071.84 and 20,413.44

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Solution

The fourth proportional to 46,709.28, 70,071.84 and 20,413.44 is: 30,623.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,709.28 : 70,071.84 = 20,413.44 : x
  2. Step 2: Convert to fraction form
    46,709.28/70,071.84 = 20,413.44/x
  3. Step 3: Cross multiply
    46,709.28x = 70,071.84 × 20,413.44
  4. Step 4: Simplify right side
    46,709.28x = 1,430,407,301.53
  5. Step 5: Solve for x
    x = 1,430,407,301.53/46,709.28
  6. Step 6: Final answer
    x = 30,623.62

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1.5x scale

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.