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Finding the Fourth Proportional to 30,703.66, 46,041.72 and 14,069.14

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Solution

The fourth proportional to 30,703.66, 46,041.72 and 14,069.14 is: 21,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.66 : 46,041.72 = 14,069.14 : x
  2. Step 2: Convert to fraction form
    30,703.66/46,041.72 = 14,069.14/x
  3. Step 3: Cross multiply
    30,703.66x = 46,041.72 × 14,069.14
  4. Step 4: Simplify right side
    30,703.66x = 647,767,404.52
  5. Step 5: Solve for x
    x = 647,767,404.52/30,703.66
  6. Step 6: Final answer
    x = 21,097.40

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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.