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Finding the Fourth Proportional to 30,267.60, 45,386.80 and 10,545.72

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Solution

The fourth proportional to 30,267.60, 45,386.80 and 10,545.72 is: 15,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267.60 : 45,386.80 = 10,545.72 : x
  2. Step 2: Convert to fraction form
    30,267.60/45,386.80 = 10,545.72/x
  3. Step 3: Cross multiply
    30,267.60x = 45,386.80 × 10,545.72
  4. Step 4: Simplify right side
    30,267.60x = 478,636,484.50
  5. Step 5: Solve for x
    x = 478,636,484.50/30,267.60
  6. Step 6: Final answer
    x = 15,813.49

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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.