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Finding the Fourth Proportional to 24,737.32, 37,106.06 and 6,017.32

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Solution

The fourth proportional to 24,737.32, 37,106.06 and 6,017.32 is: 9,026.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,737.32 : 37,106.06 = 6,017.32 : x
  2. Step 2: Convert to fraction form
    24,737.32/37,106.06 = 6,017.32/x
  3. Step 3: Cross multiply
    24,737.32x = 37,106.06 × 6,017.32
  4. Step 4: Simplify right side
    24,737.32x = 223,279,036.96
  5. Step 5: Solve for x
    x = 223,279,036.96/24,737.32
  6. Step 6: Final answer
    x = 9,026.00

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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.