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Finding the Fourth Proportional to 32,417.80, 48,285.77 and 30,901

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Solution

The fourth proportional to 32,417.80, 48,285.77 and 30,901 is: 46,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417.80 : 48,285.77 = 30,901 : x
  2. Step 2: Convert to fraction form
    32,417.80/48,285.77 = 30,901/x
  3. Step 3: Cross multiply
    32,417.80x = 48,285.77 × 30,901
  4. Step 4: Simplify right side
    32,417.80x = 1,492,078,578.77
  5. Step 5: Solve for x
    x = 1,492,078,578.77/32,417.80
  6. Step 6: Final answer
    x = 46,026.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.