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Finding the Fourth Proportional to 114,547.32, 171,779.80 and 39,647.16

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Solution

The fourth proportional to 114,547.32, 171,779.80 and 39,647.16 is: 59,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,547.32 : 171,779.80 = 39,647.16 : x
  2. Step 2: Convert to fraction form
    114,547.32/171,779.80 = 39,647.16/x
  3. Step 3: Cross multiply
    114,547.32x = 171,779.80 × 39,647.16
  4. Step 4: Simplify right side
    114,547.32x = 6,810,581,215.37
  5. Step 5: Solve for x
    x = 6,810,581,215.37/114,547.32
  6. Step 6: Final answer
    x = 59,456.49

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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.