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Finding the Fourth Proportional to 53,769, 74,197.71 and 29,894.82

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Solution

The fourth proportional to 53,769, 74,197.71 and 29,894.82 is: 41,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,769 : 74,197.71 = 29,894.82 : x
  2. Step 2: Convert to fraction form
    53,769/74,197.71 = 29,894.82/x
  3. Step 3: Cross multiply
    53,769x = 74,197.71 × 29,894.82
  4. Step 4: Simplify right side
    53,769x = 2,218,127,184.86
  5. Step 5: Solve for x
    x = 2,218,127,184.86/53,769
  6. Step 6: Final answer
    x = 41,252.90

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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.