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Finding the Fourth Proportional to 109,916.80, 164,775.30 and 39,746.50

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Solution

The fourth proportional to 109,916.80, 164,775.30 and 39,746.50 is: 59,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,916.80 : 164,775.30 = 39,746.50 : x
  2. Step 2: Convert to fraction form
    109,916.80/164,775.30 = 39,746.50/x
  3. Step 3: Cross multiply
    109,916.80x = 164,775.30 × 39,746.50
  4. Step 4: Simplify right side
    109,916.80x = 6,549,241,461.45
  5. Step 5: Solve for x
    x = 6,549,241,461.45/109,916.80
  6. Step 6: Final answer
    x = 59,583.63

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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.