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Finding the Fourth Proportional to 106,025.63, 158,998.04 and 46,829.00

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Solution

The fourth proportional to 106,025.63, 158,998.04 and 46,829.00 is: 70,225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,025.63 : 158,998.04 = 46,829.00 : x
  2. Step 2: Convert to fraction form
    106,025.63/158,998.04 = 46,829.00/x
  3. Step 3: Cross multiply
    106,025.63x = 158,998.04 × 46,829.00
  4. Step 4: Simplify right side
    106,025.63x = 7,445,719,554.12
  5. Step 5: Solve for x
    x = 7,445,719,554.12/106,025.63
  6. Step 6: Final answer
    x = 70,225.66

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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.