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Finding the Fourth Proportional to 34,655.32, 47,823.26 and 19,547.76

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Solution

The fourth proportional to 34,655.32, 47,823.26 and 19,547.76 is: 26,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,655.32 : 47,823.26 = 19,547.76 : x
  2. Step 2: Convert to fraction form
    34,655.32/47,823.26 = 19,547.76/x
  3. Step 3: Cross multiply
    34,655.32x = 47,823.26 × 19,547.76
  4. Step 4: Simplify right side
    34,655.32x = 934,837,657.77
  5. Step 5: Solve for x
    x = 934,837,657.77/34,655.32
  6. Step 6: Final answer
    x = 26,975.30

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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.