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Finding the Fourth Proportional to 46,909.35, 70,364.25 and 11,849.01

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Solution

The fourth proportional to 46,909.35, 70,364.25 and 11,849.01 is: 17,773.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,909.35 : 70,364.25 = 11,849.01 : x
  2. Step 2: Convert to fraction form
    46,909.35/70,364.25 = 11,849.01/x
  3. Step 3: Cross multiply
    46,909.35x = 70,364.25 × 11,849.01
  4. Step 4: Simplify right side
    46,909.35x = 833,746,701.89
  5. Step 5: Solve for x
    x = 833,746,701.89/46,909.35
  6. Step 6: Final answer
    x = 17,773.57

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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.