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Finding the Fourth Proportional to 70,034.76, 105,038.01 and 25,646.36

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Solution

The fourth proportional to 70,034.76, 105,038.01 and 25,646.36 is: 38,464.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,034.76 : 105,038.01 = 25,646.36 : x
  2. Step 2: Convert to fraction form
    70,034.76/105,038.01 = 25,646.36/x
  3. Step 3: Cross multiply
    70,034.76x = 105,038.01 × 25,646.36
  4. Step 4: Simplify right side
    70,034.76x = 2,693,842,092.95
  5. Step 5: Solve for x
    x = 2,693,842,092.95/70,034.76
  6. Step 6: Final answer
    x = 38,464.36

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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.