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Finding the Fourth Proportional to 31,283.58, 46,931.28 and 12,565.09

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Solution

The fourth proportional to 31,283.58, 46,931.28 and 12,565.09 is: 18,850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.58 : 46,931.28 = 12,565.09 : x
  2. Step 2: Convert to fraction form
    31,283.58/46,931.28 = 12,565.09/x
  3. Step 3: Cross multiply
    31,283.58x = 46,931.28 × 12,565.09
  4. Step 4: Simplify right side
    31,283.58x = 589,695,459.53
  5. Step 5: Solve for x
    x = 589,695,459.53/31,283.58
  6. Step 6: Final answer
    x = 18,850.00

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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.