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Finding the Fourth Proportional to 48,034, 72,051.32 and 15,202

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Solution

The fourth proportional to 48,034, 72,051.32 and 15,202 is: 22,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,034 : 72,051.32 = 15,202 : x
  2. Step 2: Convert to fraction form
    48,034/72,051.32 = 15,202/x
  3. Step 3: Cross multiply
    48,034x = 72,051.32 × 15,202
  4. Step 4: Simplify right side
    48,034x = 1,095,324,166.64
  5. Step 5: Solve for x
    x = 1,095,324,166.64/48,034
  6. Step 6: Final answer
    x = 22,803.10

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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.