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Finding the Fourth Proportional to 30,897.54, 46,346.54 and 20,232.87

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Solution

The fourth proportional to 30,897.54, 46,346.54 and 20,232.87 is: 30,349.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.54 : 46,346.54 = 20,232.87 : x
  2. Step 2: Convert to fraction form
    30,897.54/46,346.54 = 20,232.87/x
  3. Step 3: Cross multiply
    30,897.54x = 46,346.54 × 20,232.87
  4. Step 4: Simplify right side
    30,897.54x = 937,723,417.61
  5. Step 5: Solve for x
    x = 937,723,417.61/30,897.54
  6. Step 6: Final answer
    x = 30,349.45

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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.