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Finding the Fourth Proportional to 46,883.34, 64,678.38 and 28,009.50

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Solution

The fourth proportional to 46,883.34, 64,678.38 and 28,009.50 is: 38,640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,883.34 : 64,678.38 = 28,009.50 : x
  2. Step 2: Convert to fraction form
    46,883.34/64,678.38 = 28,009.50/x
  3. Step 3: Cross multiply
    46,883.34x = 64,678.38 × 28,009.50
  4. Step 4: Simplify right side
    46,883.34x = 1,811,609,084.61
  5. Step 5: Solve for x
    x = 1,811,609,084.61/46,883.34
  6. Step 6: Final answer
    x = 38,640.79

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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.