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Finding the Fourth Proportional to 48,852, 73,278.72 and 16,020

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Solution

The fourth proportional to 48,852, 73,278.72 and 16,020 is: 24,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,852 : 73,278.72 = 16,020 : x
  2. Step 2: Convert to fraction form
    48,852/73,278.72 = 16,020/x
  3. Step 3: Cross multiply
    48,852x = 73,278.72 × 16,020
  4. Step 4: Simplify right side
    48,852x = 1,173,925,094.40
  5. Step 5: Solve for x
    x = 1,173,925,094.40/48,852
  6. Step 6: Final answer
    x = 24,030.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.