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Finding the Fourth Proportional to 41,070.34, 56,674.72 and 23,164.28

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Solution

The fourth proportional to 41,070.34, 56,674.72 and 23,164.28 is: 31,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,070.34 : 56,674.72 = 23,164.28 : x
  2. Step 2: Convert to fraction form
    41,070.34/56,674.72 = 23,164.28/x
  3. Step 3: Cross multiply
    41,070.34x = 56,674.72 × 23,164.28
  4. Step 4: Simplify right side
    41,070.34x = 1,312,829,041.11
  5. Step 5: Solve for x
    x = 1,312,829,041.11/41,070.34
  6. Step 6: Final answer
    x = 31,965.38

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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.