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Finding the Fourth Proportional to 29,066.32, 43,603.80 and 10,594

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Solution

The fourth proportional to 29,066.32, 43,603.80 and 10,594 is: 15,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,066.32 : 43,603.80 = 10,594 : x
  2. Step 2: Convert to fraction form
    29,066.32/43,603.80 = 10,594/x
  3. Step 3: Cross multiply
    29,066.32x = 43,603.80 × 10,594
  4. Step 4: Simplify right side
    29,066.32x = 461,938,657.20
  5. Step 5: Solve for x
    x = 461,938,657.20/29,066.32
  6. Step 6: Final answer
    x = 15,892.57

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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.