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Finding the Fourth Proportional to 75,547.66, 113,270.37 and 42,290.68

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Solution

The fourth proportional to 75,547.66, 113,270.37 and 42,290.68 is: 63,407.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,547.66 : 113,270.37 = 42,290.68 : x
  2. Step 2: Convert to fraction form
    75,547.66/113,270.37 = 42,290.68/x
  3. Step 3: Cross multiply
    75,547.66x = 113,270.37 × 42,290.68
  4. Step 4: Simplify right side
    75,547.66x = 4,790,280,971.15
  5. Step 5: Solve for x
    x = 4,790,280,971.15/75,547.66
  6. Step 6: Final answer
    x = 63,407.40

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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.