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Finding the Fourth Proportional to 30,337.13, 45,510.78 and 13,696.80

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Solution

The fourth proportional to 30,337.13, 45,510.78 and 13,696.80 is: 20,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,337.13 : 45,510.78 = 13,696.80 : x
  2. Step 2: Convert to fraction form
    30,337.13/45,510.78 = 13,696.80/x
  3. Step 3: Cross multiply
    30,337.13x = 45,510.78 × 13,696.80
  4. Step 4: Simplify right side
    30,337.13x = 623,352,051.50
  5. Step 5: Solve for x
    x = 623,352,051.50/30,337.13
  6. Step 6: Final answer
    x = 20,547.50

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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.