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Finding the Fourth Proportional to 35,318, 53,001.30 and 14,541.50

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Solution

The fourth proportional to 35,318, 53,001.30 and 14,541.50 is: 21,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,318 : 53,001.30 = 14,541.50 : x
  2. Step 2: Convert to fraction form
    35,318/53,001.30 = 14,541.50/x
  3. Step 3: Cross multiply
    35,318x = 53,001.30 × 14,541.50
  4. Step 4: Simplify right side
    35,318x = 770,718,403.95
  5. Step 5: Solve for x
    x = 770,718,403.95/35,318
  6. Step 6: Final answer
    x = 21,822.26

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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.