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Finding the Fourth Proportional to 53,643.60, 80,465.40 and 14,204.70

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Solution

The fourth proportional to 53,643.60, 80,465.40 and 14,204.70 is: 21,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,643.60 : 80,465.40 = 14,204.70 : x
  2. Step 2: Convert to fraction form
    53,643.60/80,465.40 = 14,204.70/x
  3. Step 3: Cross multiply
    53,643.60x = 80,465.40 × 14,204.70
  4. Step 4: Simplify right side
    53,643.60x = 1,142,986,867.38
  5. Step 5: Solve for x
    x = 1,142,986,867.38/53,643.60
  6. Step 6: Final answer
    x = 21,307.05

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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.