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Finding the Fourth Proportional to 84,726.53, 116,922.72 and 47,000.78

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Solution

The fourth proportional to 84,726.53, 116,922.72 and 47,000.78 is: 64,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,726.53 : 116,922.72 = 47,000.78 : x
  2. Step 2: Convert to fraction form
    84,726.53/116,922.72 = 47,000.78/x
  3. Step 3: Cross multiply
    84,726.53x = 116,922.72 × 47,000.78
  4. Step 4: Simplify right side
    84,726.53x = 5,495,459,039.72
  5. Step 5: Solve for x
    x = 5,495,459,039.72/84,726.53
  6. Step 6: Final answer
    x = 64,861.14

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1.5x scale

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.