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Finding the Fourth Proportional to 46,486.76, 64,157.16 and 27,623.88

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Solution

The fourth proportional to 46,486.76, 64,157.16 and 27,623.88 is: 38,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,486.76 : 64,157.16 = 27,623.88 : x
  2. Step 2: Convert to fraction form
    46,486.76/64,157.16 = 27,623.88/x
  3. Step 3: Cross multiply
    46,486.76x = 64,157.16 × 27,623.88
  4. Step 4: Simplify right side
    46,486.76x = 1,772,269,688.98
  5. Step 5: Solve for x
    x = 1,772,269,688.98/46,486.76
  6. Step 6: Final answer
    x = 38,124.18

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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.