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Finding the Fourth Proportional to 30,388.63, 45,582.95 and 8,202.00

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Solution

The fourth proportional to 30,388.63, 45,582.95 and 8,202.00 is: 12,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,388.63 : 45,582.95 = 8,202.00 : x
  2. Step 2: Convert to fraction form
    30,388.63/45,582.95 = 8,202.00/x
  3. Step 3: Cross multiply
    30,388.63x = 45,582.95 × 8,202.00
  4. Step 4: Simplify right side
    30,388.63x = 373,871,547.34
  5. Step 5: Solve for x
    x = 373,871,547.34/30,388.63
  6. Step 6: Final answer
    x = 12,303.01

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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.