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Finding the Fourth Proportional to 94,692, 141,963.12 and 47,282.72

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Solution

The fourth proportional to 94,692, 141,963.12 and 47,282.72 is: 70,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,692 : 141,963.12 = 47,282.72 : x
  2. Step 2: Convert to fraction form
    94,692/141,963.12 = 47,282.72/x
  3. Step 3: Cross multiply
    94,692x = 141,963.12 × 47,282.72
  4. Step 4: Simplify right side
    94,692x = 6,712,402,453.29
  5. Step 5: Solve for x
    x = 6,712,402,453.29/94,692
  6. Step 6: Final answer
    x = 70,886.69

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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.