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Finding the Fourth Proportional to 30,909.55, 46,368.04 and 10,914.92

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Solution

The fourth proportional to 30,909.55, 46,368.04 and 10,914.92 is: 16,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,909.55 : 46,368.04 = 10,914.92 : x
  2. Step 2: Convert to fraction form
    30,909.55/46,368.04 = 10,914.92/x
  3. Step 3: Cross multiply
    30,909.55x = 46,368.04 × 10,914.92
  4. Step 4: Simplify right side
    30,909.55x = 506,103,508.50
  5. Step 5: Solve for x
    x = 506,103,508.50/30,909.55
  6. Step 6: Final answer
    x = 16,373.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.