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Finding the Fourth Proportional to 30,851.32, 42,574.32 and 16,703.86

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Solution

The fourth proportional to 30,851.32, 42,574.32 and 16,703.86 is: 23,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,851.32 : 42,574.32 = 16,703.86 : x
  2. Step 2: Convert to fraction form
    30,851.32/42,574.32 = 16,703.86/x
  3. Step 3: Cross multiply
    30,851.32x = 42,574.32 × 16,703.86
  4. Step 4: Simplify right side
    30,851.32x = 711,155,480.88
  5. Step 5: Solve for x
    x = 711,155,480.88/30,851.32
  6. Step 6: Final answer
    x = 23,051.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.