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Finding the Fourth Proportional to 46,995, 70,506 and 23,309.79

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Solution

The fourth proportional to 46,995, 70,506 and 23,309.79 is: 34,971.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,995 : 70,506 = 23,309.79 : x
  2. Step 2: Convert to fraction form
    46,995/70,506 = 23,309.79/x
  3. Step 3: Cross multiply
    46,995x = 70,506 × 23,309.79
  4. Step 4: Simplify right side
    46,995x = 1,643,480,053.74
  5. Step 5: Solve for x
    x = 1,643,480,053.74/46,995
  6. Step 6: Final answer
    x = 34,971.38

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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.