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Finding the Fourth Proportional to 46,767.64, 64,528.74 and 27,901

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Solution

The fourth proportional to 46,767.64, 64,528.74 and 27,901 is: 38,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,767.64 : 64,528.74 = 27,901 : x
  2. Step 2: Convert to fraction form
    46,767.64/64,528.74 = 27,901/x
  3. Step 3: Cross multiply
    46,767.64x = 64,528.74 × 27,901
  4. Step 4: Simplify right side
    46,767.64x = 1,800,416,374.74
  5. Step 5: Solve for x
    x = 1,800,416,374.74/46,767.64
  6. Step 6: Final answer
    x = 38,497.05

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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.