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Finding the Fourth Proportional to 35,648.64, 53,491.20 and 14,604

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Solution

The fourth proportional to 35,648.64, 53,491.20 and 14,604 is: 21,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648.64 : 53,491.20 = 14,604 : x
  2. Step 2: Convert to fraction form
    35,648.64/53,491.20 = 14,604/x
  3. Step 3: Cross multiply
    35,648.64x = 53,491.20 × 14,604
  4. Step 4: Simplify right side
    35,648.64x = 781,185,484.80
  5. Step 5: Solve for x
    x = 781,185,484.80/35,648.64
  6. Step 6: Final answer
    x = 21,913.47

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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.