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Finding the Fourth Proportional to 46,070.94, 69,062.61 and 18,009

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Solution

The fourth proportional to 46,070.94, 69,062.61 and 18,009 is: 26,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,070.94 : 69,062.61 = 18,009 : x
  2. Step 2: Convert to fraction form
    46,070.94/69,062.61 = 18,009/x
  3. Step 3: Cross multiply
    46,070.94x = 69,062.61 × 18,009
  4. Step 4: Simplify right side
    46,070.94x = 1,243,748,543.49
  5. Step 5: Solve for x
    x = 1,243,748,543.49/46,070.94
  6. Step 6: Final answer
    x = 26,996.38

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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.