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Finding the Fourth Proportional to 74,312.84, 102,587 and 47,102.52

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Solution

The fourth proportional to 74,312.84, 102,587 and 47,102.52 is: 65,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,312.84 : 102,587 = 47,102.52 : x
  2. Step 2: Convert to fraction form
    74,312.84/102,587 = 47,102.52/x
  3. Step 3: Cross multiply
    74,312.84x = 102,587 × 47,102.52
  4. Step 4: Simplify right side
    74,312.84x = 4,832,106,219.24
  5. Step 5: Solve for x
    x = 4,832,106,219.24/74,312.84
  6. Step 6: Final answer
    x = 65,023.84

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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.