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Finding the Fourth Proportional to 37,032.16, 55,547.76 and 8,952

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Solution

The fourth proportional to 37,032.16, 55,547.76 and 8,952 is: 13,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,032.16 : 55,547.76 = 8,952 : x
  2. Step 2: Convert to fraction form
    37,032.16/55,547.76 = 8,952/x
  3. Step 3: Cross multiply
    37,032.16x = 55,547.76 × 8,952
  4. Step 4: Simplify right side
    37,032.16x = 497,263,547.52
  5. Step 5: Solve for x
    x = 497,263,547.52/37,032.16
  6. Step 6: Final answer
    x = 13,427.88

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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.