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Finding the Fourth Proportional to 30,457.92, 42,037.38 and 18,360.57

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Solution

The fourth proportional to 30,457.92, 42,037.38 and 18,360.57 is: 25,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,457.92 : 42,037.38 = 18,360.57 : x
  2. Step 2: Convert to fraction form
    30,457.92/42,037.38 = 18,360.57/x
  3. Step 3: Cross multiply
    30,457.92x = 42,037.38 × 18,360.57
  4. Step 4: Simplify right side
    30,457.92x = 771,830,415.75
  5. Step 5: Solve for x
    x = 771,830,415.75/30,457.92
  6. Step 6: Final answer
    x = 25,340.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.