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Finding the Fourth Proportional to 30,525.60, 45,772.56 and 9,746.40

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Solution

The fourth proportional to 30,525.60, 45,772.56 and 9,746.40 is: 14,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525.60 : 45,772.56 = 9,746.40 : x
  2. Step 2: Convert to fraction form
    30,525.60/45,772.56 = 9,746.40/x
  3. Step 3: Cross multiply
    30,525.60x = 45,772.56 × 9,746.40
  4. Step 4: Simplify right side
    30,525.60x = 446,117,678.78
  5. Step 5: Solve for x
    x = 446,117,678.78/30,525.60
  6. Step 6: Final answer
    x = 14,614.54

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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.