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Finding the Fourth Proportional to 30,612.31, 45,916.84 and 9,549.93

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Solution

The fourth proportional to 30,612.31, 45,916.84 and 9,549.93 is: 14,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,612.31 : 45,916.84 = 9,549.93 : x
  2. Step 2: Convert to fraction form
    30,612.31/45,916.84 = 9,549.93/x
  3. Step 3: Cross multiply
    30,612.31x = 45,916.84 × 9,549.93
  4. Step 4: Simplify right side
    30,612.31x = 438,502,756.13
  5. Step 5: Solve for x
    x = 438,502,756.13/30,612.31
  6. Step 6: Final answer
    x = 14,324.39

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1.5x scale

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.