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Finding the Fourth Proportional to 113,473, 170,209.50 and 30,365.16

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Solution

The fourth proportional to 113,473, 170,209.50 and 30,365.16 is: 45,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,473 : 170,209.50 = 30,365.16 : x
  2. Step 2: Convert to fraction form
    113,473/170,209.50 = 30,365.16/x
  3. Step 3: Cross multiply
    113,473x = 170,209.50 × 30,365.16
  4. Step 4: Simplify right side
    113,473x = 5,168,438,701.02
  5. Step 5: Solve for x
    x = 5,168,438,701.02/113,473
  6. Step 6: Final answer
    x = 45,547.74

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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.