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Finding the Fourth Proportional to 30,030.48, 45,032.84 and 10,311

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Solution

The fourth proportional to 30,030.48, 45,032.84 and 10,311 is: 15,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,030.48 : 45,032.84 = 10,311 : x
  2. Step 2: Convert to fraction form
    30,030.48/45,032.84 = 10,311/x
  3. Step 3: Cross multiply
    30,030.48x = 45,032.84 × 10,311
  4. Step 4: Simplify right side
    30,030.48x = 464,333,613.24
  5. Step 5: Solve for x
    x = 464,333,613.24/30,030.48
  6. Step 6: Final answer
    x = 15,462.08

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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.