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Finding the Fourth Proportional to 46,653.64, 64,379.64 and 26,507.84

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Solution

The fourth proportional to 46,653.64, 64,379.64 and 26,507.84 is: 36,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,653.64 : 64,379.64 = 26,507.84 : x
  2. Step 2: Convert to fraction form
    46,653.64/64,379.64 = 26,507.84/x
  3. Step 3: Cross multiply
    46,653.64x = 64,379.64 × 26,507.84
  4. Step 4: Simplify right side
    46,653.64x = 1,706,565,196.38
  5. Step 5: Solve for x
    x = 1,706,565,196.38/46,653.64
  6. Step 6: Final answer
    x = 36,579.47

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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.