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Finding the Fourth Proportional to 46,747.49, 70,069.30 and 35,617.49

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Solution

The fourth proportional to 46,747.49, 70,069.30 and 35,617.49 is: 53,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,747.49 : 70,069.30 = 35,617.49 : x
  2. Step 2: Convert to fraction form
    46,747.49/70,069.30 = 35,617.49/x
  3. Step 3: Cross multiply
    46,747.49x = 70,069.30 × 35,617.49
  4. Step 4: Simplify right side
    46,747.49x = 2,495,692,063.62
  5. Step 5: Solve for x
    x = 2,495,692,063.62/46,747.49
  6. Step 6: Final answer
    x = 53,386.65

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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.