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Finding the Fourth Proportional to 31,287.48, 46,931.24 and 7,595.06

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Solution

The fourth proportional to 31,287.48, 46,931.24 and 7,595.06 is: 11,392.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,287.48 : 46,931.24 = 7,595.06 : x
  2. Step 2: Convert to fraction form
    31,287.48/46,931.24 = 7,595.06/x
  3. Step 3: Cross multiply
    31,287.48x = 46,931.24 × 7,595.06
  4. Step 4: Simplify right side
    31,287.48x = 356,445,583.67
  5. Step 5: Solve for x
    x = 356,445,583.67/31,287.48
  6. Step 6: Final answer
    x = 11,392.59

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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.