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Finding the Fourth Proportional to 75,031.49, 112,547.23 and 30,658.20

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Solution

The fourth proportional to 75,031.49, 112,547.23 and 30,658.20 is: 45,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,031.49 : 112,547.23 = 30,658.20 : x
  2. Step 2: Convert to fraction form
    75,031.49/112,547.23 = 30,658.20/x
  3. Step 3: Cross multiply
    75,031.49x = 112,547.23 × 30,658.20
  4. Step 4: Simplify right side
    75,031.49x = 3,450,495,486.79
  5. Step 5: Solve for x
    x = 3,450,495,486.79/75,031.49
  6. Step 6: Final answer
    x = 45,987.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.