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Finding the Fourth Proportional to 35,628, 53,442 and 14,851.50

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Solution

The fourth proportional to 35,628, 53,442 and 14,851.50 is: 22,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,628 : 53,442 = 14,851.50 : x
  2. Step 2: Convert to fraction form
    35,628/53,442 = 14,851.50/x
  3. Step 3: Cross multiply
    35,628x = 53,442 × 14,851.50
  4. Step 4: Simplify right side
    35,628x = 793,693,863
  5. Step 5: Solve for x
    x = 793,693,863/35,628
  6. Step 6: Final answer
    x = 22,277.25

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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.