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Finding the Fourth Proportional to 34,685.54, 52,036.59 and 11,312

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Solution

The fourth proportional to 34,685.54, 52,036.59 and 11,312 is: 16,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,685.54 : 52,036.59 = 11,312 : x
  2. Step 2: Convert to fraction form
    34,685.54/52,036.59 = 11,312/x
  3. Step 3: Cross multiply
    34,685.54x = 52,036.59 × 11,312
  4. Step 4: Simplify right side
    34,685.54x = 588,637,906.08
  5. Step 5: Solve for x
    x = 588,637,906.08/34,685.54
  6. Step 6: Final answer
    x = 16,970.70

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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.