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Finding the Fourth Proportional to 77,545.68, 116,224.68 and 35,368.02

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Solution

The fourth proportional to 77,545.68, 116,224.68 and 35,368.02 is: 53,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,545.68 : 116,224.68 = 35,368.02 : x
  2. Step 2: Convert to fraction form
    77,545.68/116,224.68 = 35,368.02/x
  3. Step 3: Cross multiply
    77,545.68x = 116,224.68 × 35,368.02
  4. Step 4: Simplify right side
    77,545.68x = 4,110,636,806.73
  5. Step 5: Solve for x
    x = 4,110,636,806.73/77,545.68
  6. Step 6: Final answer
    x = 53,009.23

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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.