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Finding the Fourth Proportional to 53,854.69, 80,780.88 and 14,411.80

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Solution

The fourth proportional to 53,854.69, 80,780.88 and 14,411.80 is: 21,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,854.69 : 80,780.88 = 14,411.80 : x
  2. Step 2: Convert to fraction form
    53,854.69/80,780.88 = 14,411.80/x
  3. Step 3: Cross multiply
    53,854.69x = 80,780.88 × 14,411.80
  4. Step 4: Simplify right side
    53,854.69x = 1,164,197,886.38
  5. Step 5: Solve for x
    x = 1,164,197,886.38/53,854.69
  6. Step 6: Final answer
    x = 21,617.39

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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.