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Finding the Fourth Proportional to 66,103.60, 99,155.60 and 46,470

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Solution

The fourth proportional to 66,103.60, 99,155.60 and 46,470 is: 69,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,103.60 : 99,155.60 = 46,470 : x
  2. Step 2: Convert to fraction form
    66,103.60/99,155.60 = 46,470/x
  3. Step 3: Cross multiply
    66,103.60x = 99,155.60 × 46,470
  4. Step 4: Simplify right side
    66,103.60x = 4,607,760,732
  5. Step 5: Solve for x
    x = 4,607,760,732/66,103.60
  6. Step 6: Final answer
    x = 69,705.14

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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.