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Finding the Fourth Proportional to 31,070.70, 46,564.47 and 11,330.64

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Solution

The fourth proportional to 31,070.70, 46,564.47 and 11,330.64 is: 16,980.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070.70 : 46,564.47 = 11,330.64 : x
  2. Step 2: Convert to fraction form
    31,070.70/46,564.47 = 11,330.64/x
  3. Step 3: Cross multiply
    31,070.70x = 46,564.47 × 11,330.64
  4. Step 4: Simplify right side
    31,070.70x = 527,605,246.36
  5. Step 5: Solve for x
    x = 527,605,246.36/31,070.70
  6. Step 6: Final answer
    x = 16,980.80

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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.