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Finding the Fourth Proportional to 30,551.40, 45,788.64 and 17,411.16

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Solution

The fourth proportional to 30,551.40, 45,788.64 and 17,411.16 is: 26,094.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,551.40 : 45,788.64 = 17,411.16 : x
  2. Step 2: Convert to fraction form
    30,551.40/45,788.64 = 17,411.16/x
  3. Step 3: Cross multiply
    30,551.40x = 45,788.64 × 17,411.16
  4. Step 4: Simplify right side
    30,551.40x = 797,233,337.22
  5. Step 5: Solve for x
    x = 797,233,337.22/30,551.40
  6. Step 6: Final answer
    x = 26,094.82

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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.