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Finding the Fourth Proportional to 30,547.65, 42,155.05 and 17,800.02

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Solution

The fourth proportional to 30,547.65, 42,155.05 and 17,800.02 is: 24,563.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.65 : 42,155.05 = 17,800.02 : x
  2. Step 2: Convert to fraction form
    30,547.65/42,155.05 = 17,800.02/x
  3. Step 3: Cross multiply
    30,547.65x = 42,155.05 × 17,800.02
  4. Step 4: Simplify right side
    30,547.65x = 750,360,721.98
  5. Step 5: Solve for x
    x = 750,360,721.98/30,547.65
  6. Step 6: Final answer
    x = 24,563.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.