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Finding the Fourth Proportional to 30,916.52, 46,374.18 and 7,543.16

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Solution

The fourth proportional to 30,916.52, 46,374.18 and 7,543.16 is: 11,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,916.52 : 46,374.18 = 7,543.16 : x
  2. Step 2: Convert to fraction form
    30,916.52/46,374.18 = 7,543.16/x
  3. Step 3: Cross multiply
    30,916.52x = 46,374.18 × 7,543.16
  4. Step 4: Simplify right side
    30,916.52x = 349,807,859.61
  5. Step 5: Solve for x
    x = 349,807,859.61/30,916.52
  6. Step 6: Final answer
    x = 11,314.59

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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.