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Finding the Fourth Proportional to 30,205.89, 45,322.33 and 15,407.01

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Solution

The fourth proportional to 30,205.89, 45,322.33 and 15,407.01 is: 23,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.89 : 45,322.33 = 15,407.01 : x
  2. Step 2: Convert to fraction form
    30,205.89/45,322.33 = 15,407.01/x
  3. Step 3: Cross multiply
    30,205.89x = 45,322.33 × 15,407.01
  4. Step 4: Simplify right side
    30,205.89x = 698,281,591.53
  5. Step 5: Solve for x
    x = 698,281,591.53/30,205.89
  6. Step 6: Final answer
    x = 23,117.40

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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.