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Finding the Fourth Proportional to 31,041.78, 46,526.18 and 14,366.58

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Solution

The fourth proportional to 31,041.78, 46,526.18 and 14,366.58 is: 21,532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041.78 : 46,526.18 = 14,366.58 : x
  2. Step 2: Convert to fraction form
    31,041.78/46,526.18 = 14,366.58/x
  3. Step 3: Cross multiply
    31,041.78x = 46,526.18 × 14,366.58
  4. Step 4: Simplify right side
    31,041.78x = 668,422,015.23
  5. Step 5: Solve for x
    x = 668,422,015.23/31,041.78
  6. Step 6: Final answer
    x = 21,532.98

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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.