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Finding the Fourth Proportional to 82,280.73, 113,545.12 and 48,746.73

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Solution

The fourth proportional to 82,280.73, 113,545.12 and 48,746.73 is: 67,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,280.73 : 113,545.12 = 48,746.73 : x
  2. Step 2: Convert to fraction form
    82,280.73/113,545.12 = 48,746.73/x
  3. Step 3: Cross multiply
    82,280.73x = 113,545.12 × 48,746.73
  4. Step 4: Simplify right side
    82,280.73x = 5,534,953,307.46
  5. Step 5: Solve for x
    x = 5,534,953,307.46/82,280.73
  6. Step 6: Final answer
    x = 67,269.13

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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.