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Finding the Fourth Proportional to 31,298.86, 46,950.00 and 7,925.50

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Solution

The fourth proportional to 31,298.86, 46,950.00 and 7,925.50 is: 11,888.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,298.86 : 46,950.00 = 7,925.50 : x
  2. Step 2: Convert to fraction form
    31,298.86/46,950.00 = 7,925.50/x
  3. Step 3: Cross multiply
    31,298.86x = 46,950.00 × 7,925.50
  4. Step 4: Simplify right side
    31,298.86x = 372,102,298.55
  5. Step 5: Solve for x
    x = 372,102,298.55/31,298.86
  6. Step 6: Final answer
    x = 11,888.68

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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.