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Finding the Fourth Proportional to 53,798.68, 80,702.70 and 14,356

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Solution

The fourth proportional to 53,798.68, 80,702.70 and 14,356 is: 21,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,798.68 : 80,702.70 = 14,356 : x
  2. Step 2: Convert to fraction form
    53,798.68/80,702.70 = 14,356/x
  3. Step 3: Cross multiply
    53,798.68x = 80,702.70 × 14,356
  4. Step 4: Simplify right side
    53,798.68x = 1,158,567,961.20
  5. Step 5: Solve for x
    x = 1,158,567,961.20/53,798.68
  6. Step 6: Final answer
    x = 21,535.25

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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.