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Finding the Fourth Proportional to 110,430.30, 165,646.89 and 31,547.10

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Solution

The fourth proportional to 110,430.30, 165,646.89 and 31,547.10 is: 47,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,430.30 : 165,646.89 = 31,547.10 : x
  2. Step 2: Convert to fraction form
    110,430.30/165,646.89 = 31,547.10/x
  3. Step 3: Cross multiply
    110,430.30x = 165,646.89 × 31,547.10
  4. Step 4: Simplify right side
    110,430.30x = 5,225,679,003.52
  5. Step 5: Solve for x
    x = 5,225,679,003.52/110,430.30
  6. Step 6: Final answer
    x = 47,321.06

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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.