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Finding the Fourth Proportional to 75,031, 112,547.58 and 19,627

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Solution

The fourth proportional to 75,031, 112,547.58 and 19,627 is: 29,440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,031 : 112,547.58 = 19,627 : x
  2. Step 2: Convert to fraction form
    75,031/112,547.58 = 19,627/x
  3. Step 3: Cross multiply
    75,031x = 112,547.58 × 19,627
  4. Step 4: Simplify right side
    75,031x = 2,208,971,352.66
  5. Step 5: Solve for x
    x = 2,208,971,352.66/75,031
  6. Step 6: Final answer
    x = 29,440.78

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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.