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Finding the Fourth Proportional to 32,030.40, 48,053.10 and 10,970.68

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Solution

The fourth proportional to 32,030.40, 48,053.10 and 10,970.68 is: 16,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,030.40 : 48,053.10 = 10,970.68 : x
  2. Step 2: Convert to fraction form
    32,030.40/48,053.10 = 10,970.68/x
  3. Step 3: Cross multiply
    32,030.40x = 48,053.10 × 10,970.68
  4. Step 4: Simplify right side
    32,030.40x = 527,175,183.11
  5. Step 5: Solve for x
    x = 527,175,183.11/32,030.40
  6. Step 6: Final answer
    x = 16,458.59

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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.