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Finding the Fourth Proportional to 30,368.94, 41,909.20 and 16,941.06

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Solution

The fourth proportional to 30,368.94, 41,909.20 and 16,941.06 is: 23,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,368.94 : 41,909.20 = 16,941.06 : x
  2. Step 2: Convert to fraction form
    30,368.94/41,909.20 = 16,941.06/x
  3. Step 3: Cross multiply
    30,368.94x = 41,909.20 × 16,941.06
  4. Step 4: Simplify right side
    30,368.94x = 709,986,271.75
  5. Step 5: Solve for x
    x = 709,986,271.75/30,368.94
  6. Step 6: Final answer
    x = 23,378.70

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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.