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Finding the Fourth Proportional to 42,011.60, 63,030.76 and 12,429.58

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Solution

The fourth proportional to 42,011.60, 63,030.76 and 12,429.58 is: 18,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,011.60 : 63,030.76 = 12,429.58 : x
  2. Step 2: Convert to fraction form
    42,011.60/63,030.76 = 12,429.58/x
  3. Step 3: Cross multiply
    42,011.60x = 63,030.76 × 12,429.58
  4. Step 4: Simplify right side
    42,011.60x = 783,445,873.88
  5. Step 5: Solve for x
    x = 783,445,873.88/42,011.60
  6. Step 6: Final answer
    x = 18,648.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.