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Finding the Fourth Proportional to 30,804.99, 42,510.74 and 16,657.80

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Solution

The fourth proportional to 30,804.99, 42,510.74 and 16,657.80 is: 22,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.99 : 42,510.74 = 16,657.80 : x
  2. Step 2: Convert to fraction form
    30,804.99/42,510.74 = 16,657.80/x
  3. Step 3: Cross multiply
    30,804.99x = 42,510.74 × 16,657.80
  4. Step 4: Simplify right side
    30,804.99x = 708,135,321.48
  5. Step 5: Solve for x
    x = 708,135,321.48/30,804.99
  6. Step 6: Final answer
    x = 22,987.68

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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.