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Finding the Fourth Proportional to 46,956.68, 70,457.80 and 20,658

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Solution

The fourth proportional to 46,956.68, 70,457.80 and 20,658 is: 30,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,956.68 : 70,457.80 = 20,658 : x
  2. Step 2: Convert to fraction form
    46,956.68/70,457.80 = 20,658/x
  3. Step 3: Cross multiply
    46,956.68x = 70,457.80 × 20,658
  4. Step 4: Simplify right side
    46,956.68x = 1,455,517,232.40
  5. Step 5: Solve for x
    x = 1,455,517,232.40/46,956.68
  6. Step 6: Final answer
    x = 30,997.02

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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.