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Finding the Fourth Proportional to 49,454.80, 74,117.40 and 19,848.40

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Solution

The fourth proportional to 49,454.80, 74,117.40 and 19,848.40 is: 29,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,454.80 : 74,117.40 = 19,848.40 : x
  2. Step 2: Convert to fraction form
    49,454.80/74,117.40 = 19,848.40/x
  3. Step 3: Cross multiply
    49,454.80x = 74,117.40 × 19,848.40
  4. Step 4: Simplify right side
    49,454.80x = 1,471,111,802.16
  5. Step 5: Solve for x
    x = 1,471,111,802.16/49,454.80
  6. Step 6: Final answer
    x = 29,746.59

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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.