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Finding the Fourth Proportional to 75,294.10, 112,904.81 and 43,712.11

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Solution

The fourth proportional to 75,294.10, 112,904.81 and 43,712.11 is: 65,547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,294.10 : 112,904.81 = 43,712.11 : x
  2. Step 2: Convert to fraction form
    75,294.10/112,904.81 = 43,712.11/x
  3. Step 3: Cross multiply
    75,294.10x = 112,904.81 × 43,712.11
  4. Step 4: Simplify right side
    75,294.10x = 4,935,307,474.25
  5. Step 5: Solve for x
    x = 4,935,307,474.25/75,294.10
  6. Step 6: Final answer
    x = 65,547.07

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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.