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Finding the Fourth Proportional to 46,954.67, 70,454.79 and 20,656.00

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Solution

The fourth proportional to 46,954.67, 70,454.79 and 20,656.00 is: 30,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,954.67 : 70,454.79 = 20,656.00 : x
  2. Step 2: Convert to fraction form
    46,954.67/70,454.79 = 20,656.00/x
  3. Step 3: Cross multiply
    46,954.67x = 70,454.79 × 20,656.00
  4. Step 4: Simplify right side
    46,954.67x = 1,455,313,966.10
  5. Step 5: Solve for x
    x = 1,455,313,966.10/46,954.67
  6. Step 6: Final answer
    x = 30,994.02

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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.