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Finding the Fourth Proportional to 45,824.32, 69,048.64 and 37,686.64

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Solution

The fourth proportional to 45,824.32, 69,048.64 and 37,686.64 is: 56,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,824.32 : 69,048.64 = 37,686.64 : x
  2. Step 2: Convert to fraction form
    45,824.32/69,048.64 = 37,686.64/x
  3. Step 3: Cross multiply
    45,824.32x = 69,048.64 × 37,686.64
  4. Step 4: Simplify right side
    45,824.32x = 2,602,211,238.17
  5. Step 5: Solve for x
    x = 2,602,211,238.17/45,824.32
  6. Step 6: Final answer
    x = 56,786.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.