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Finding the Fourth Proportional to 74,011.76, 111,034.02 and 34,547.32

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Solution

The fourth proportional to 74,011.76, 111,034.02 and 34,547.32 is: 51,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,011.76 : 111,034.02 = 34,547.32 : x
  2. Step 2: Convert to fraction form
    74,011.76/111,034.02 = 34,547.32/x
  3. Step 3: Cross multiply
    74,011.76x = 111,034.02 × 34,547.32
  4. Step 4: Simplify right side
    74,011.76x = 3,835,927,819.83
  5. Step 5: Solve for x
    x = 3,835,927,819.83/74,011.76
  6. Step 6: Final answer
    x = 51,828.63

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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.