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Finding the Fourth Proportional to 30,303.20, 45,389.04 and 14,688

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Solution

The fourth proportional to 30,303.20, 45,389.04 and 14,688 is: 22,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,303.20 : 45,389.04 = 14,688 : x
  2. Step 2: Convert to fraction form
    30,303.20/45,389.04 = 14,688/x
  3. Step 3: Cross multiply
    30,303.20x = 45,389.04 × 14,688
  4. Step 4: Simplify right side
    30,303.20x = 666,674,219.52
  5. Step 5: Solve for x
    x = 666,674,219.52/30,303.20
  6. Step 6: Final answer
    x = 22,000.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.