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Finding the Fourth Proportional to 65,201.70, 97,802.55 and 31,943.10

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Solution

The fourth proportional to 65,201.70, 97,802.55 and 31,943.10 is: 47,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.70 : 97,802.55 = 31,943.10 : x
  2. Step 2: Convert to fraction form
    65,201.70/97,802.55 = 31,943.10/x
  3. Step 3: Cross multiply
    65,201.70x = 97,802.55 × 31,943.10
  4. Step 4: Simplify right side
    65,201.70x = 3,124,116,634.91
  5. Step 5: Solve for x
    x = 3,124,116,634.91/65,201.70
  6. Step 6: Final answer
    x = 47,914.65

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1.5x scale

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.