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Finding the Fourth Proportional to 35,677.40, 53,501.73 and 23,178.69

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Solution

The fourth proportional to 35,677.40, 53,501.73 and 23,178.69 is: 34,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,677.40 : 53,501.73 = 23,178.69 : x
  2. Step 2: Convert to fraction form
    35,677.40/53,501.73 = 23,178.69/x
  3. Step 3: Cross multiply
    35,677.40x = 53,501.73 × 23,178.69
  4. Step 4: Simplify right side
    35,677.40x = 1,240,100,014.13
  5. Step 5: Solve for x
    x = 1,240,100,014.13/35,677.40
  6. Step 6: Final answer
    x = 34,758.70

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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.