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Finding the Fourth Proportional to 65,030.28, 89,741.70 and 35,222.28

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Solution

The fourth proportional to 65,030.28, 89,741.70 and 35,222.28 is: 48,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,030.28 : 89,741.70 = 35,222.28 : x
  2. Step 2: Convert to fraction form
    65,030.28/89,741.70 = 35,222.28/x
  3. Step 3: Cross multiply
    65,030.28x = 89,741.70 × 35,222.28
  4. Step 4: Simplify right side
    65,030.28x = 3,160,907,285.08
  5. Step 5: Solve for x
    x = 3,160,907,285.08/65,030.28
  6. Step 6: Final answer
    x = 48,606.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.