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Finding the Fourth Proportional to 46,677.84, 64,425.84 and 29,678.76

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Solution

The fourth proportional to 46,677.84, 64,425.84 and 29,678.76 is: 40,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,677.84 : 64,425.84 = 29,678.76 : x
  2. Step 2: Convert to fraction form
    46,677.84/64,425.84 = 29,678.76/x
  3. Step 3: Cross multiply
    46,677.84x = 64,425.84 × 29,678.76
  4. Step 4: Simplify right side
    46,677.84x = 1,912,079,043.16
  5. Step 5: Solve for x
    x = 1,912,079,043.16/46,677.84
  6. Step 6: Final answer
    x = 40,963.31

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1.5x scale

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.