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Finding the Fourth Proportional to 32,417.95, 48,645.71 and 13,696.77

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Solution

The fourth proportional to 32,417.95, 48,645.71 and 13,696.77 is: 20,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417.95 : 48,645.71 = 13,696.77 : x
  2. Step 2: Convert to fraction form
    32,417.95/48,645.71 = 13,696.77/x
  3. Step 3: Cross multiply
    32,417.95x = 48,645.71 × 13,696.77
  4. Step 4: Simplify right side
    32,417.95x = 666,289,206.89
  5. Step 5: Solve for x
    x = 666,289,206.89/32,417.95
  6. Step 6: Final answer
    x = 20,553.10

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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.