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Finding the Fourth Proportional to 46,705.86, 70,070.00 and 13,425.26

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Solution

The fourth proportional to 46,705.86, 70,070.00 and 13,425.26 is: 20,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,705.86 : 70,070.00 = 13,425.26 : x
  2. Step 2: Convert to fraction form
    46,705.86/70,070.00 = 13,425.26/x
  3. Step 3: Cross multiply
    46,705.86x = 70,070.00 × 13,425.26
  4. Step 4: Simplify right side
    46,705.86x = 940,707,550.72
  5. Step 5: Solve for x
    x = 940,707,550.72/46,705.86
  6. Step 6: Final answer
    x = 20,141.10

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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.