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Finding the Fourth Proportional to 46,915.12, 70,373.16 and 11,854.80

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Solution

The fourth proportional to 46,915.12, 70,373.16 and 11,854.80 is: 17,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,915.12 : 70,373.16 = 11,854.80 : x
  2. Step 2: Convert to fraction form
    46,915.12/70,373.16 = 11,854.80/x
  3. Step 3: Cross multiply
    46,915.12x = 70,373.16 × 11,854.80
  4. Step 4: Simplify right side
    46,915.12x = 834,259,737.17
  5. Step 5: Solve for x
    x = 834,259,737.17/46,915.12
  6. Step 6: Final answer
    x = 17,782.32

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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.