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Finding the Fourth Proportional to 30,036.24, 45,054 and 9,259.74

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Solution

The fourth proportional to 30,036.24, 45,054 and 9,259.74 is: 13,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,036.24 : 45,054 = 9,259.74 : x
  2. Step 2: Convert to fraction form
    30,036.24/45,054 = 9,259.74/x
  3. Step 3: Cross multiply
    30,036.24x = 45,054 × 9,259.74
  4. Step 4: Simplify right side
    30,036.24x = 417,188,325.96
  5. Step 5: Solve for x
    x = 417,188,325.96/30,036.24
  6. Step 6: Final answer
    x = 13,889.50

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1.5x scale

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.