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Finding the Fourth Proportional to 31,045.60, 46,564.80 and 8,862.40

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Solution

The fourth proportional to 31,045.60, 46,564.80 and 8,862.40 is: 13,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,045.60 : 46,564.80 = 8,862.40 : x
  2. Step 2: Convert to fraction form
    31,045.60/46,564.80 = 8,862.40/x
  3. Step 3: Cross multiply
    31,045.60x = 46,564.80 × 8,862.40
  4. Step 4: Simplify right side
    31,045.60x = 412,675,883.52
  5. Step 5: Solve for x
    x = 412,675,883.52/31,045.60
  6. Step 6: Final answer
    x = 13,292.57

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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.