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Finding the Fourth Proportional to 30,412.65, 45,606.52 and 9,347.59

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Solution

The fourth proportional to 30,412.65, 45,606.52 and 9,347.59 is: 14,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.65 : 45,606.52 = 9,347.59 : x
  2. Step 2: Convert to fraction form
    30,412.65/45,606.52 = 9,347.59/x
  3. Step 3: Cross multiply
    30,412.65x = 45,606.52 × 9,347.59
  4. Step 4: Simplify right side
    30,412.65x = 426,311,050.29
  5. Step 5: Solve for x
    x = 426,311,050.29/30,412.65
  6. Step 6: Final answer
    x = 14,017.56

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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.