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Finding the Fourth Proportional to 30,256.40, 45,385.40 and 9,480.40

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Solution

The fourth proportional to 30,256.40, 45,385.40 and 9,480.40 is: 14,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.40 : 45,385.40 = 9,480.40 : x
  2. Step 2: Convert to fraction form
    30,256.40/45,385.40 = 9,480.40/x
  3. Step 3: Cross multiply
    30,256.40x = 45,385.40 × 9,480.40
  4. Step 4: Simplify right side
    30,256.40x = 430,271,746.16
  5. Step 5: Solve for x
    x = 430,271,746.16/30,256.40
  6. Step 6: Final answer
    x = 14,220.85

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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.