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Finding the Fourth Proportional to 77,124.40, 115,492.20 and 57,295.60

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Solution

The fourth proportional to 77,124.40, 115,492.20 and 57,295.60 is: 85,798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,124.40 : 115,492.20 = 57,295.60 : x
  2. Step 2: Convert to fraction form
    77,124.40/115,492.20 = 57,295.60/x
  3. Step 3: Cross multiply
    77,124.40x = 115,492.20 × 57,295.60
  4. Step 4: Simplify right side
    77,124.40x = 6,617,194,894.32
  5. Step 5: Solve for x
    x = 6,617,194,894.32/77,124.40
  6. Step 6: Final answer
    x = 85,798.98

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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.