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Finding the Fourth Proportional to 48,415.64, 66,807.36 and 28,257.93

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Solution

The fourth proportional to 48,415.64, 66,807.36 and 28,257.93 is: 38,992.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,415.64 : 66,807.36 = 28,257.93 : x
  2. Step 2: Convert to fraction form
    48,415.64/66,807.36 = 28,257.93/x
  3. Step 3: Cross multiply
    48,415.64x = 66,807.36 × 28,257.93
  4. Step 4: Simplify right side
    48,415.64x = 1,887,837,702.36
  5. Step 5: Solve for x
    x = 1,887,837,702.36/48,415.64
  6. Step 6: Final answer
    x = 38,992.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.