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Finding the Fourth Proportional to 32,417.68, 48,626.52 and 16,802.50

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Solution

The fourth proportional to 32,417.68, 48,626.52 and 16,802.50 is: 25,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,417.68 : 48,626.52 = 16,802.50 : x
  2. Step 2: Convert to fraction form
    32,417.68/48,626.52 = 16,802.50/x
  3. Step 3: Cross multiply
    32,417.68x = 48,626.52 × 16,802.50
  4. Step 4: Simplify right side
    32,417.68x = 817,047,102.30
  5. Step 5: Solve for x
    x = 817,047,102.30/32,417.68
  6. Step 6: Final answer
    x = 25,203.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.