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Finding the Fourth Proportional to 46,969.76, 64,826.49 and 35,676.64

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Solution

The fourth proportional to 46,969.76, 64,826.49 and 35,676.64 is: 49,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,969.76 : 64,826.49 = 35,676.64 : x
  2. Step 2: Convert to fraction form
    46,969.76/64,826.49 = 35,676.64/x
  3. Step 3: Cross multiply
    46,969.76x = 64,826.49 × 35,676.64
  4. Step 4: Simplify right side
    46,969.76x = 2,312,791,561.01
  5. Step 5: Solve for x
    x = 2,312,791,561.01/46,969.76
  6. Step 6: Final answer
    x = 49,240.01

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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.