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Finding the Fourth Proportional to 53,712.71, 74,055.39 and 38,417.67

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Solution

The fourth proportional to 53,712.71, 74,055.39 and 38,417.67 is: 52,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,712.71 : 74,055.39 = 38,417.67 : x
  2. Step 2: Convert to fraction form
    53,712.71/74,055.39 = 38,417.67/x
  3. Step 3: Cross multiply
    53,712.71x = 74,055.39 × 38,417.67
  4. Step 4: Simplify right side
    53,712.71x = 2,845,035,534.74
  5. Step 5: Solve for x
    x = 2,845,035,534.74/53,712.71
  6. Step 6: Final answer
    x = 52,967.65

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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.