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Finding the Fourth Proportional to 32,097.06, 48,127.95 and 9,904.32

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Solution

The fourth proportional to 32,097.06, 48,127.95 and 9,904.32 is: 14,851.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.06 : 48,127.95 = 9,904.32 : x
  2. Step 2: Convert to fraction form
    32,097.06/48,127.95 = 9,904.32/x
  3. Step 3: Cross multiply
    32,097.06x = 48,127.95 × 9,904.32
  4. Step 4: Simplify right side
    32,097.06x = 476,674,617.74
  5. Step 5: Solve for x
    x = 476,674,617.74/32,097.06
  6. Step 6: Final answer
    x = 14,851.04

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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.