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Finding the Fourth Proportional to 109,677.66, 164,482.47 and 39,547.86

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Solution

The fourth proportional to 109,677.66, 164,482.47 and 39,547.86 is: 59,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,677.66 : 164,482.47 = 39,547.86 : x
  2. Step 2: Convert to fraction form
    109,677.66/164,482.47 = 39,547.86/x
  3. Step 3: Cross multiply
    109,677.66x = 164,482.47 × 39,547.86
  4. Step 4: Simplify right side
    109,677.66x = 6,504,929,696.01
  5. Step 5: Solve for x
    x = 6,504,929,696.01/109,677.66
  6. Step 6: Final answer
    x = 59,309.52

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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.