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Finding the Fourth Proportional to 46,931.63, 64,765.64 and 28,068.75

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Solution

The fourth proportional to 46,931.63, 64,765.64 and 28,068.75 is: 38,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,931.63 : 64,765.64 = 28,068.75 : x
  2. Step 2: Convert to fraction form
    46,931.63/64,765.64 = 28,068.75/x
  3. Step 3: Cross multiply
    46,931.63x = 64,765.64 × 28,068.75
  4. Step 4: Simplify right side
    46,931.63x = 1,817,890,627.92
  5. Step 5: Solve for x
    x = 1,817,890,627.92/46,931.63
  6. Step 6: Final answer
    x = 38,734.88

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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.