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Finding the Fourth Proportional to 35,140.50, 52,698.06 and 14,085.36

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Solution

The fourth proportional to 35,140.50, 52,698.06 and 14,085.36 is: 21,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,140.50 : 52,698.06 = 14,085.36 : x
  2. Step 2: Convert to fraction form
    35,140.50/52,698.06 = 14,085.36/x
  3. Step 3: Cross multiply
    35,140.50x = 52,698.06 × 14,085.36
  4. Step 4: Simplify right side
    35,140.50x = 742,271,146.40
  5. Step 5: Solve for x
    x = 742,271,146.40/35,140.50
  6. Step 6: Final answer
    x = 21,122.95

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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.