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Finding the Fourth Proportional to 46,999.65, 70,441.14 and 23,281.65

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Solution

The fourth proportional to 46,999.65, 70,441.14 and 23,281.65 is: 34,893.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,999.65 : 70,441.14 = 23,281.65 : x
  2. Step 2: Convert to fraction form
    46,999.65/70,441.14 = 23,281.65/x
  3. Step 3: Cross multiply
    46,999.65x = 70,441.14 × 23,281.65
  4. Step 4: Simplify right side
    46,999.65x = 1,639,985,967.08
  5. Step 5: Solve for x
    x = 1,639,985,967.08/46,999.65
  6. Step 6: Final answer
    x = 34,893.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.