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Finding the Fourth Proportional to 35,423.52, 53,148.78 and 13,246.80

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Solution

The fourth proportional to 35,423.52, 53,148.78 and 13,246.80 is: 19,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,423.52 : 53,148.78 = 13,246.80 : x
  2. Step 2: Convert to fraction form
    35,423.52/53,148.78 = 13,246.80/x
  3. Step 3: Cross multiply
    35,423.52x = 53,148.78 × 13,246.80
  4. Step 4: Simplify right side
    35,423.52x = 704,051,258.90
  5. Step 5: Solve for x
    x = 704,051,258.90/35,423.52
  6. Step 6: Final answer
    x = 19,875.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.