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Finding the Fourth Proportional to 29,314, 40,460.70 and 16,746.04

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Solution

The fourth proportional to 29,314, 40,460.70 and 16,746.04 is: 23,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314 : 40,460.70 = 16,746.04 : x
  2. Step 2: Convert to fraction form
    29,314/40,460.70 = 16,746.04/x
  3. Step 3: Cross multiply
    29,314x = 40,460.70 × 16,746.04
  4. Step 4: Simplify right side
    29,314x = 677,556,500.63
  5. Step 5: Solve for x
    x = 677,556,500.63/29,314
  6. Step 6: Final answer
    x = 23,113.75

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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.