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Finding the Fourth Proportional to 78,838.84, 118,155.58 and 32,037

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Solution

The fourth proportional to 78,838.84, 118,155.58 and 32,037 is: 48,013.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,838.84 : 118,155.58 = 32,037 : x
  2. Step 2: Convert to fraction form
    78,838.84/118,155.58 = 32,037/x
  3. Step 3: Cross multiply
    78,838.84x = 118,155.58 × 32,037
  4. Step 4: Simplify right side
    78,838.84x = 3,785,350,316.46
  5. Step 5: Solve for x
    x = 3,785,350,316.46/78,838.84
  6. Step 6: Final answer
    x = 48,013.77

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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.