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Finding the Fourth Proportional to 30,897.60, 46,360.80 and 16,123.20

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Solution

The fourth proportional to 30,897.60, 46,360.80 and 16,123.20 is: 24,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.60 : 46,360.80 = 16,123.20 : x
  2. Step 2: Convert to fraction form
    30,897.60/46,360.80 = 16,123.20/x
  3. Step 3: Cross multiply
    30,897.60x = 46,360.80 × 16,123.20
  4. Step 4: Simplify right side
    30,897.60x = 747,484,450.56
  5. Step 5: Solve for x
    x = 747,484,450.56/30,897.60
  6. Step 6: Final answer
    x = 24,192.31

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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.