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Finding the Fourth Proportional to 32,038.16, 48,057.24 and 14,507.60

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Solution

The fourth proportional to 32,038.16, 48,057.24 and 14,507.60 is: 21,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.16 : 48,057.24 = 14,507.60 : x
  2. Step 2: Convert to fraction form
    32,038.16/48,057.24 = 14,507.60/x
  3. Step 3: Cross multiply
    32,038.16x = 48,057.24 × 14,507.60
  4. Step 4: Simplify right side
    32,038.16x = 697,195,215.02
  5. Step 5: Solve for x
    x = 697,195,215.02/32,038.16
  6. Step 6: Final answer
    x = 21,761.40

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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.