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Finding the Fourth Proportional to 35,443.60, 53,146.20 and 14,643.60

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Solution

The fourth proportional to 35,443.60, 53,146.20 and 14,643.60 is: 21,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,443.60 : 53,146.20 = 14,643.60 : x
  2. Step 2: Convert to fraction form
    35,443.60/53,146.20 = 14,643.60/x
  3. Step 3: Cross multiply
    35,443.60x = 53,146.20 × 14,643.60
  4. Step 4: Simplify right side
    35,443.60x = 778,251,694.32
  5. Step 5: Solve for x
    x = 778,251,694.32/35,443.60
  6. Step 6: Final answer
    x = 21,957.47

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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.