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Finding the Fourth Proportional to 30,202.02, 45,285.14 and 9,135.68

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Solution

The fourth proportional to 30,202.02, 45,285.14 and 9,135.68 is: 13,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.02 : 45,285.14 = 9,135.68 : x
  2. Step 2: Convert to fraction form
    30,202.02/45,285.14 = 9,135.68/x
  3. Step 3: Cross multiply
    30,202.02x = 45,285.14 × 9,135.68
  4. Step 4: Simplify right side
    30,202.02x = 413,710,547.80
  5. Step 5: Solve for x
    x = 413,710,547.80/30,202.02
  6. Step 6: Final answer
    x = 13,698.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.