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Finding the Fourth Proportional to 30,202.37, 45,283.55 and 14,409.84

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Solution

The fourth proportional to 30,202.37, 45,283.55 and 14,409.84 is: 21,605.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.37 : 45,283.55 = 14,409.84 : x
  2. Step 2: Convert to fraction form
    30,202.37/45,283.55 = 14,409.84/x
  3. Step 3: Cross multiply
    30,202.37x = 45,283.55 × 14,409.84
  4. Step 4: Simplify right side
    30,202.37x = 652,528,746.16
  5. Step 5: Solve for x
    x = 652,528,746.16/30,202.37
  6. Step 6: Final answer
    x = 21,605.21

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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.