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Finding the Fourth Proportional to 30,549.66, 45,828.59 and 13,023.59

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Solution

The fourth proportional to 30,549.66, 45,828.59 and 13,023.59 is: 19,537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.66 : 45,828.59 = 13,023.59 : x
  2. Step 2: Convert to fraction form
    30,549.66/45,828.59 = 13,023.59/x
  3. Step 3: Cross multiply
    30,549.66x = 45,828.59 × 13,023.59
  4. Step 4: Simplify right side
    30,549.66x = 596,852,472.18
  5. Step 5: Solve for x
    x = 596,852,472.18/30,549.66
  6. Step 6: Final answer
    x = 19,537.13

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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.