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Finding the Fourth Proportional to 65,274.84, 97,899.30 and 31,980.60

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Solution

The fourth proportional to 65,274.84, 97,899.30 and 31,980.60 is: 47,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,274.84 : 97,899.30 = 31,980.60 : x
  2. Step 2: Convert to fraction form
    65,274.84/97,899.30 = 31,980.60/x
  3. Step 3: Cross multiply
    65,274.84x = 97,899.30 × 31,980.60
  4. Step 4: Simplify right side
    65,274.84x = 3,130,878,353.58
  5. Step 5: Solve for x
    x = 3,130,878,353.58/65,274.84
  6. Step 6: Final answer
    x = 47,964.55

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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.