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Finding the Fourth Proportional to 46,951.25, 70,412.01 and 15,354.01

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Solution

The fourth proportional to 46,951.25, 70,412.01 and 15,354.01 is: 23,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,951.25 : 70,412.01 = 15,354.01 : x
  2. Step 2: Convert to fraction form
    46,951.25/70,412.01 = 15,354.01/x
  3. Step 3: Cross multiply
    46,951.25x = 70,412.01 × 15,354.01
  4. Step 4: Simplify right side
    46,951.25x = 1,081,106,628.89
  5. Step 5: Solve for x
    x = 1,081,106,628.89/46,951.25
  6. Step 6: Final answer
    x = 23,026.15

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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.