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Finding the Fourth Proportional to 45,875, 68,824.06 and 13,043

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Solution

The fourth proportional to 45,875, 68,824.06 and 13,043 is: 19,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,875 : 68,824.06 = 13,043 : x
  2. Step 2: Convert to fraction form
    45,875/68,824.06 = 13,043/x
  3. Step 3: Cross multiply
    45,875x = 68,824.06 × 13,043
  4. Step 4: Simplify right side
    45,875x = 897,672,214.58
  5. Step 5: Solve for x
    x = 897,672,214.58/45,875
  6. Step 6: Final answer
    x = 19,567.79

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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.