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Finding the Fourth Proportional to 46,374.42, 69,565.80 and 13,094.82

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Solution

The fourth proportional to 46,374.42, 69,565.80 and 13,094.82 is: 19,643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,374.42 : 69,565.80 = 13,094.82 : x
  2. Step 2: Convert to fraction form
    46,374.42/69,565.80 = 13,094.82/x
  3. Step 3: Cross multiply
    46,374.42x = 69,565.80 × 13,094.82
  4. Step 4: Simplify right side
    46,374.42x = 910,951,629.16
  5. Step 5: Solve for x
    x = 910,951,629.16/46,374.42
  6. Step 6: Final answer
    x = 19,643.41

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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.