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Finding the Fourth Proportional to 75,046, 112,444.26 and 52,812.64

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Solution

The fourth proportional to 75,046, 112,444.26 and 52,812.64 is: 79,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,046 : 112,444.26 = 52,812.64 : x
  2. Step 2: Convert to fraction form
    75,046/112,444.26 = 52,812.64/x
  3. Step 3: Cross multiply
    75,046x = 112,444.26 × 52,812.64
  4. Step 4: Simplify right side
    75,046x = 5,938,478,223.45
  5. Step 5: Solve for x
    x = 5,938,478,223.45/75,046
  6. Step 6: Final answer
    x = 79,131.18

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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.