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Finding the Fourth Proportional to 46,570.78, 69,869.78 and 14,980.13

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Solution

The fourth proportional to 46,570.78, 69,869.78 and 14,980.13 is: 22,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,570.78 : 69,869.78 = 14,980.13 : x
  2. Step 2: Convert to fraction form
    46,570.78/69,869.78 = 14,980.13/x
  3. Step 3: Cross multiply
    46,570.78x = 69,869.78 × 14,980.13
  4. Step 4: Simplify right side
    46,570.78x = 1,046,658,387.47
  5. Step 5: Solve for x
    x = 1,046,658,387.47/46,570.78
  6. Step 6: Final answer
    x = 22,474.57

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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.