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Finding the Fourth Proportional to 75,258, 103,859.64 and 41,724

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Solution

The fourth proportional to 75,258, 103,859.64 and 41,724 is: 57,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,258 : 103,859.64 = 41,724 : x
  2. Step 2: Convert to fraction form
    75,258/103,859.64 = 41,724/x
  3. Step 3: Cross multiply
    75,258x = 103,859.64 × 41,724
  4. Step 4: Simplify right side
    75,258x = 4,333,439,619.36
  5. Step 5: Solve for x
    x = 4,333,439,619.36/75,258
  6. Step 6: Final answer
    x = 57,581.12

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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.