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Finding the Fourth Proportional to 70,283.16, 97,022.43 and 44,823.69

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Solution

The fourth proportional to 70,283.16, 97,022.43 and 44,823.69 is: 61,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,283.16 : 97,022.43 = 44,823.69 : x
  2. Step 2: Convert to fraction form
    70,283.16/97,022.43 = 44,823.69/x
  3. Step 3: Cross multiply
    70,283.16x = 97,022.43 × 44,823.69
  4. Step 4: Simplify right side
    70,283.16x = 4,348,903,325.37
  5. Step 5: Solve for x
    x = 4,348,903,325.37/70,283.16
  6. Step 6: Final answer
    x = 61,876.89

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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.