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Finding the Fourth Proportional to 53,116.86, 79,622 and 24,673.78

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Solution

The fourth proportional to 53,116.86, 79,622 and 24,673.78 is: 36,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,116.86 : 79,622 = 24,673.78 : x
  2. Step 2: Convert to fraction form
    53,116.86/79,622 = 24,673.78/x
  3. Step 3: Cross multiply
    53,116.86x = 79,622 × 24,673.78
  4. Step 4: Simplify right side
    53,116.86x = 1,964,575,711.16
  5. Step 5: Solve for x
    x = 1,964,575,711.16/53,116.86
  6. Step 6: Final answer
    x = 36,985.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.