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Finding the Fourth Proportional to 52,547.94, 72,516.15 and 33,685.07

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Solution

The fourth proportional to 52,547.94, 72,516.15 and 33,685.07 is: 46,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,547.94 : 72,516.15 = 33,685.07 : x
  2. Step 2: Convert to fraction form
    52,547.94/72,516.15 = 33,685.07/x
  3. Step 3: Cross multiply
    52,547.94x = 72,516.15 × 33,685.07
  4. Step 4: Simplify right side
    52,547.94x = 2,442,711,226.30
  5. Step 5: Solve for x
    x = 2,442,711,226.30/52,547.94
  6. Step 6: Final answer
    x = 46,485.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.