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Finding the Fourth Proportional to 82,957.88, 114,477.74 and 47,143.16

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Solution

The fourth proportional to 82,957.88, 114,477.74 and 47,143.16 is: 65,055.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,957.88 : 114,477.74 = 47,143.16 : x
  2. Step 2: Convert to fraction form
    82,957.88/114,477.74 = 47,143.16/x
  3. Step 3: Cross multiply
    82,957.88x = 114,477.74 × 47,143.16
  4. Step 4: Simplify right side
    82,957.88x = 5,396,842,413.26
  5. Step 5: Solve for x
    x = 5,396,842,413.26/82,957.88
  6. Step 6: Final answer
    x = 65,055.21

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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.