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Finding the Fourth Proportional to 76,244.69, 105,214.64 and 42,254.63

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Solution

The fourth proportional to 76,244.69, 105,214.64 and 42,254.63 is: 58,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,244.69 : 105,214.64 = 42,254.63 : x
  2. Step 2: Convert to fraction form
    76,244.69/105,214.64 = 42,254.63/x
  3. Step 3: Cross multiply
    76,244.69x = 105,214.64 × 42,254.63
  4. Step 4: Simplify right side
    76,244.69x = 4,445,805,472.51
  5. Step 5: Solve for x
    x = 4,445,805,472.51/76,244.69
  6. Step 6: Final answer
    x = 58,309.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.