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Finding the Fourth Proportional to 35,830.82, 53,746.21 and 12,457.25

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Solution

The fourth proportional to 35,830.82, 53,746.21 and 12,457.25 is: 18,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.82 : 53,746.21 = 12,457.25 : x
  2. Step 2: Convert to fraction form
    35,830.82/53,746.21 = 12,457.25/x
  3. Step 3: Cross multiply
    35,830.82x = 53,746.21 × 12,457.25
  4. Step 4: Simplify right side
    35,830.82x = 669,529,974.52
  5. Step 5: Solve for x
    x = 669,529,974.52/35,830.82
  6. Step 6: Final answer
    x = 18,685.87

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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.