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Finding the Fourth Proportional to 30,565.64, 45,855.06 and 9,505.28

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Solution

The fourth proportional to 30,565.64, 45,855.06 and 9,505.28 is: 14,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565.64 : 45,855.06 = 9,505.28 : x
  2. Step 2: Convert to fraction form
    30,565.64/45,855.06 = 9,505.28/x
  3. Step 3: Cross multiply
    30,565.64x = 45,855.06 × 9,505.28
  4. Step 4: Simplify right side
    30,565.64x = 435,865,317.18
  5. Step 5: Solve for x
    x = 435,865,317.18/30,565.64
  6. Step 6: Final answer
    x = 14,259.98

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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.