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Finding the Fourth Proportional to 56,421.32, 77,859.51 and 32,547.38

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Solution

The fourth proportional to 56,421.32, 77,859.51 and 32,547.38 is: 44,914.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,421.32 : 77,859.51 = 32,547.38 : x
  2. Step 2: Convert to fraction form
    56,421.32/77,859.51 = 32,547.38/x
  3. Step 3: Cross multiply
    56,421.32x = 77,859.51 × 32,547.38
  4. Step 4: Simplify right side
    56,421.32x = 2,534,123,058.58
  5. Step 5: Solve for x
    x = 2,534,123,058.58/56,421.32
  6. Step 6: Final answer
    x = 44,914.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.