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Finding the Fourth Proportional to 74,684.40, 112,026.50 and 34,681.51

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Solution

The fourth proportional to 74,684.40, 112,026.50 and 34,681.51 is: 52,022.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,684.40 : 112,026.50 = 34,681.51 : x
  2. Step 2: Convert to fraction form
    74,684.40/112,026.50 = 34,681.51/x
  3. Step 3: Cross multiply
    74,684.40x = 112,026.50 × 34,681.51
  4. Step 4: Simplify right side
    74,684.40x = 3,885,248,180.02
  5. Step 5: Solve for x
    x = 3,885,248,180.02/74,684.40
  6. Step 6: Final answer
    x = 52,022.22

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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.