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Finding the Fourth Proportional to 32,510.25, 48,779.52 and 11,465.52

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Solution

The fourth proportional to 32,510.25, 48,779.52 and 11,465.52 is: 17,203.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,510.25 : 48,779.52 = 11,465.52 : x
  2. Step 2: Convert to fraction form
    32,510.25/48,779.52 = 11,465.52/x
  3. Step 3: Cross multiply
    32,510.25x = 48,779.52 × 11,465.52
  4. Step 4: Simplify right side
    32,510.25x = 559,282,562.15
  5. Step 5: Solve for x
    x = 559,282,562.15/32,510.25
  6. Step 6: Final answer
    x = 17,203.27

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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.