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Finding the Fourth Proportional to 53,684.84, 74,084.90 and 29,810.92

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Solution

The fourth proportional to 53,684.84, 74,084.90 and 29,810.92 is: 41,138.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,684.84 : 74,084.90 = 29,810.92 : x
  2. Step 2: Convert to fraction form
    53,684.84/74,084.90 = 29,810.92/x
  3. Step 3: Cross multiply
    53,684.84x = 74,084.90 × 29,810.92
  4. Step 4: Simplify right side
    53,684.84x = 2,208,539,027.11
  5. Step 5: Solve for x
    x = 2,208,539,027.11/53,684.84
  6. Step 6: Final answer
    x = 41,138.97

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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.