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Finding the Fourth Proportional to 35,477.94, 48,957.81 and 20,162.50

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Solution

The fourth proportional to 35,477.94, 48,957.81 and 20,162.50 is: 27,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,477.94 : 48,957.81 = 20,162.50 : x
  2. Step 2: Convert to fraction form
    35,477.94/48,957.81 = 20,162.50/x
  3. Step 3: Cross multiply
    35,477.94x = 48,957.81 × 20,162.50
  4. Step 4: Simplify right side
    35,477.94x = 987,111,646.12
  5. Step 5: Solve for x
    x = 987,111,646.12/35,477.94
  6. Step 6: Final answer
    x = 27,823.25

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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.