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Finding the Fourth Proportional to 42,012.60, 63,032.26 and 12,430.58

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Solution

The fourth proportional to 42,012.60, 63,032.26 and 12,430.58 is: 18,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,012.60 : 63,032.26 = 12,430.58 : x
  2. Step 2: Convert to fraction form
    42,012.60/63,032.26 = 12,430.58/x
  3. Step 3: Cross multiply
    42,012.60x = 63,032.26 × 12,430.58
  4. Step 4: Simplify right side
    42,012.60x = 783,527,550.51
  5. Step 5: Solve for x
    x = 783,527,550.51/42,012.60
  6. Step 6: Final answer
    x = 18,649.82

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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.