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Finding the Fourth Proportional to 35,783.10, 53,675.86 and 9,490.50

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Solution

The fourth proportional to 35,783.10, 53,675.86 and 9,490.50 is: 14,236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783.10 : 53,675.86 = 9,490.50 : x
  2. Step 2: Convert to fraction form
    35,783.10/53,675.86 = 9,490.50/x
  3. Step 3: Cross multiply
    35,783.10x = 53,675.86 × 9,490.50
  4. Step 4: Simplify right side
    35,783.10x = 509,410,749.33
  5. Step 5: Solve for x
    x = 509,410,749.33/35,783.10
  6. Step 6: Final answer
    x = 14,236.07

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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.