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Finding the Fourth Proportional to 70,602.43, 105,924.14 and 28,460.76

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Solution

The fourth proportional to 70,602.43, 105,924.14 and 28,460.76 is: 42,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,602.43 : 105,924.14 = 28,460.76 : x
  2. Step 2: Convert to fraction form
    70,602.43/105,924.14 = 28,460.76/x
  3. Step 3: Cross multiply
    70,602.43x = 105,924.14 × 28,460.76
  4. Step 4: Simplify right side
    70,602.43x = 3,014,681,862.71
  5. Step 5: Solve for x
    x = 3,014,681,862.71/70,602.43
  6. Step 6: Final answer
    x = 42,699.41

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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.