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Finding the Fourth Proportional to 54,707.40, 75,503.34 and 30,838.68

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Solution

The fourth proportional to 54,707.40, 75,503.34 and 30,838.68 is: 42,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,707.40 : 75,503.34 = 30,838.68 : x
  2. Step 2: Convert to fraction form
    54,707.40/75,503.34 = 30,838.68/x
  3. Step 3: Cross multiply
    54,707.40x = 75,503.34 × 30,838.68
  4. Step 4: Simplify right side
    54,707.40x = 2,328,423,341.19
  5. Step 5: Solve for x
    x = 2,328,423,341.19/54,707.40
  6. Step 6: Final answer
    x = 42,561.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.