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Finding the Fourth Proportional to 46,486.50, 69,730.62 and 13,206.70

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Solution

The fourth proportional to 46,486.50, 69,730.62 and 13,206.70 is: 19,810.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,486.50 : 69,730.62 = 13,206.70 : x
  2. Step 2: Convert to fraction form
    46,486.50/69,730.62 = 13,206.70/x
  3. Step 3: Cross multiply
    46,486.50x = 69,730.62 × 13,206.70
  4. Step 4: Simplify right side
    46,486.50x = 920,911,379.15
  5. Step 5: Solve for x
    x = 920,911,379.15/46,486.50
  6. Step 6: Final answer
    x = 19,810.30

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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.