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Finding the Fourth Proportional to 53,843.84, 74,302.32 and 29,969.84

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Solution

The fourth proportional to 53,843.84, 74,302.32 and 29,969.84 is: 41,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,843.84 : 74,302.32 = 29,969.84 : x
  2. Step 2: Convert to fraction form
    53,843.84/74,302.32 = 29,969.84/x
  3. Step 3: Cross multiply
    53,843.84x = 74,302.32 × 29,969.84
  4. Step 4: Simplify right side
    53,843.84x = 2,226,828,642.03
  5. Step 5: Solve for x
    x = 2,226,828,642.03/53,843.84
  6. Step 6: Final answer
    x = 41,357.17

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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.