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Finding the Fourth Proportional to 32,545.60, 44,907.60 and 19,114

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Solution

The fourth proportional to 32,545.60, 44,907.60 and 19,114 is: 26,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,545.60 : 44,907.60 = 19,114 : x
  2. Step 2: Convert to fraction form
    32,545.60/44,907.60 = 19,114/x
  3. Step 3: Cross multiply
    32,545.60x = 44,907.60 × 19,114
  4. Step 4: Simplify right side
    32,545.60x = 858,363,866.40
  5. Step 5: Solve for x
    x = 858,363,866.40/32,545.60
  6. Step 6: Final answer
    x = 26,374.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.