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Finding the Fourth Proportional to 46,502.84, 64,180.14 and 29,784.44

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Solution

The fourth proportional to 46,502.84, 64,180.14 and 29,784.44 is: 41,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,502.84 : 64,180.14 = 29,784.44 : x
  2. Step 2: Convert to fraction form
    46,502.84/64,180.14 = 29,784.44/x
  3. Step 3: Cross multiply
    46,502.84x = 64,180.14 × 29,784.44
  4. Step 4: Simplify right side
    46,502.84x = 1,911,569,529.02
  5. Step 5: Solve for x
    x = 1,911,569,529.02/46,502.84
  6. Step 6: Final answer
    x = 41,106.51

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