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Finding the Fourth Proportional to 35,984.60, 53,970.80 and 9,683.48

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Solution

The fourth proportional to 35,984.60, 53,970.80 and 9,683.48 is: 14,523.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,984.60 : 53,970.80 = 9,683.48 : x
  2. Step 2: Convert to fraction form
    35,984.60/53,970.80 = 9,683.48/x
  3. Step 3: Cross multiply
    35,984.60x = 53,970.80 × 9,683.48
  4. Step 4: Simplify right side
    35,984.60x = 522,625,113.97
  5. Step 5: Solve for x
    x = 522,625,113.97/35,984.60
  6. Step 6: Final answer
    x = 14,523.58

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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.