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Finding the Fourth Proportional to 32,367.48, 48,570.05 and 13,646.35

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Solution

The fourth proportional to 32,367.48, 48,570.05 and 13,646.35 is: 20,477.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,367.48 : 48,570.05 = 13,646.35 : x
  2. Step 2: Convert to fraction form
    32,367.48/48,570.05 = 13,646.35/x
  3. Step 3: Cross multiply
    32,367.48x = 48,570.05 × 13,646.35
  4. Step 4: Simplify right side
    32,367.48x = 662,803,901.82
  5. Step 5: Solve for x
    x = 662,803,901.82/32,367.48
  6. Step 6: Final answer
    x = 20,477.46

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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.