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Finding the Fourth Proportional to 49,547.74, 74,302.98 and 19,955.48

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Solution

The fourth proportional to 49,547.74, 74,302.98 and 19,955.48 is: 29,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,547.74 : 74,302.98 = 19,955.48 : x
  2. Step 2: Convert to fraction form
    49,547.74/74,302.98 = 19,955.48/x
  3. Step 3: Cross multiply
    49,547.74x = 74,302.98 × 19,955.48
  4. Step 4: Simplify right side
    49,547.74x = 1,482,751,631.33
  5. Step 5: Solve for x
    x = 1,482,751,631.33/49,547.74
  6. Step 6: Final answer
    x = 29,925.72

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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.