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Finding the Fourth Proportional to 109,855.60, 164,830.90 and 46,689.58

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Solution

The fourth proportional to 109,855.60, 164,830.90 and 46,689.58 is: 70,054.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,855.60 : 164,830.90 = 46,689.58 : x
  2. Step 2: Convert to fraction form
    109,855.60/164,830.90 = 46,689.58/x
  3. Step 3: Cross multiply
    109,855.60x = 164,830.90 × 46,689.58
  4. Step 4: Simplify right side
    109,855.60x = 7,695,885,492.02
  5. Step 5: Solve for x
    x = 7,695,885,492.02/109,855.60
  6. Step 6: Final answer
    x = 70,054.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.