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Finding the Fourth Proportional to 32,814.40, 49,228.08 and 12,038.08

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Solution

The fourth proportional to 32,814.40, 49,228.08 and 12,038.08 is: 18,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,814.40 : 49,228.08 = 12,038.08 : x
  2. Step 2: Convert to fraction form
    32,814.40/49,228.08 = 12,038.08/x
  3. Step 3: Cross multiply
    32,814.40x = 49,228.08 × 12,038.08
  4. Step 4: Simplify right side
    32,814.40x = 592,611,565.29
  5. Step 5: Solve for x
    x = 592,611,565.29/32,814.40
  6. Step 6: Final answer
    x = 18,059.50

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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.