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Finding the Fourth Proportional to 34,009.95, 51,014.86 and 9,050

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Solution

The fourth proportional to 34,009.95, 51,014.86 and 9,050 is: 13,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.95 : 51,014.86 = 9,050 : x
  2. Step 2: Convert to fraction form
    34,009.95/51,014.86 = 9,050/x
  3. Step 3: Cross multiply
    34,009.95x = 51,014.86 × 9,050
  4. Step 4: Simplify right side
    34,009.95x = 461,684,483
  5. Step 5: Solve for x
    x = 461,684,483/34,009.95
  6. Step 6: Final answer
    x = 13,574.98

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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.