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Finding the Fourth Proportional to 70,461.68, 105,573.65 and 34,875.54

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Solution

The fourth proportional to 70,461.68, 105,573.65 and 34,875.54 is: 52,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,461.68 : 105,573.65 = 34,875.54 : x
  2. Step 2: Convert to fraction form
    70,461.68/105,573.65 = 34,875.54/x
  3. Step 3: Cross multiply
    70,461.68x = 105,573.65 × 34,875.54
  4. Step 4: Simplify right side
    70,461.68x = 3,681,937,879.14
  5. Step 5: Solve for x
    x = 3,681,937,879.14/70,461.68
  6. Step 6: Final answer
    x = 52,254.48

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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.