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Finding the Fourth Proportional to 32,043.06, 48,070.06 and 9,855.95

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Solution

The fourth proportional to 32,043.06, 48,070.06 and 9,855.95 is: 14,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043.06 : 48,070.06 = 9,855.95 : x
  2. Step 2: Convert to fraction form
    32,043.06/48,070.06 = 9,855.95/x
  3. Step 3: Cross multiply
    32,043.06x = 48,070.06 × 9,855.95
  4. Step 4: Simplify right side
    32,043.06x = 473,775,842.87
  5. Step 5: Solve for x
    x = 473,775,842.87/32,043.06
  6. Step 6: Final answer
    x = 14,785.60

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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.