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Finding the Fourth Proportional to 30,312.29, 45,475.74 and 9,535.79

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Solution

The fourth proportional to 30,312.29, 45,475.74 and 9,535.79 is: 14,305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312.29 : 45,475.74 = 9,535.79 : x
  2. Step 2: Convert to fraction form
    30,312.29/45,475.74 = 9,535.79/x
  3. Step 3: Cross multiply
    30,312.29x = 45,475.74 × 9,535.79
  4. Step 4: Simplify right side
    30,312.29x = 433,646,879.36
  5. Step 5: Solve for x
    x = 433,646,879.36/30,312.29
  6. Step 6: Final answer
    x = 14,305.98

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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.