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Finding the Fourth Proportional to 46,659.94, 64,379.18 and 28,506

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Solution

The fourth proportional to 46,659.94, 64,379.18 and 28,506 is: 39,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,659.94 : 64,379.18 = 28,506 : x
  2. Step 2: Convert to fraction form
    46,659.94/64,379.18 = 28,506/x
  3. Step 3: Cross multiply
    46,659.94x = 64,379.18 × 28,506
  4. Step 4: Simplify right side
    46,659.94x = 1,835,192,905.08
  5. Step 5: Solve for x
    x = 1,835,192,905.08/46,659.94
  6. Step 6: Final answer
    x = 39,331.23

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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.