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Finding the Fourth Proportional to 30,156.86, 45,239.74 and 10,430.12

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Solution

The fourth proportional to 30,156.86, 45,239.74 and 10,430.12 is: 15,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,156.86 : 45,239.74 = 10,430.12 : x
  2. Step 2: Convert to fraction form
    30,156.86/45,239.74 = 10,430.12/x
  3. Step 3: Cross multiply
    30,156.86x = 45,239.74 × 10,430.12
  4. Step 4: Simplify right side
    30,156.86x = 471,855,916.97
  5. Step 5: Solve for x
    x = 471,855,916.97/30,156.86
  6. Step 6: Final answer
    x = 15,646.72

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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.