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Finding the Fourth Proportional to 32,417.42, 48,597.27 and 12,709.71

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Solution

The fourth proportional to 32,417.42, 48,597.27 and 12,709.71 is: 19,053.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417.42 : 48,597.27 = 12,709.71 : x
  2. Step 2: Convert to fraction form
    32,417.42/48,597.27 = 12,709.71/x
  3. Step 3: Cross multiply
    32,417.42x = 48,597.27 × 12,709.71
  4. Step 4: Simplify right side
    32,417.42x = 617,657,160.83
  5. Step 5: Solve for x
    x = 617,657,160.83/32,417.42
  6. Step 6: Final answer
    x = 19,053.25

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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.