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Finding the Fourth Proportional to 27,829.50, 41,746.68 and 7,053

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Solution

The fourth proportional to 27,829.50, 41,746.68 and 7,053 is: 10,580.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829.50 : 41,746.68 = 7,053 : x
  2. Step 2: Convert to fraction form
    27,829.50/41,746.68 = 7,053/x
  3. Step 3: Cross multiply
    27,829.50x = 41,746.68 × 7,053
  4. Step 4: Simplify right side
    27,829.50x = 294,439,334.04
  5. Step 5: Solve for x
    x = 294,439,334.04/27,829.50
  6. Step 6: Final answer
    x = 10,580.12

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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.